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NCERT Class 8 Mathematics MCQ
Mensuration
with Answers
Question :The diagram has the shape of a
(a) square
(b) rectangle
(c) triangle
(d) trapezium.
Answer : (b) rectangleShow Answer :
Question :The diagram has the shape of a
(a) rectangle
(b) square
(c) circle
(d) parallelogram.
Answer : (b) squareShow Answer :
Question :The diagram has the shape of a
(a) circle
(b) rectangle
(c) square
(d) triangle.
Answer : (d) triangleShow Answer :
Question :The diagram has the shape of a
(a) rectangle
(b) square
(c) parallelogram
(d) circle.
Answer : (c) parallelogramShow Answer :
Question :The diagram has the shape of a
(a) circle
(b) square
(c) rectangle
(d) parallelogram.
Answer : (a) circleShow Answer :
Question :The diagram has the shape of a
(a) circle
(b) parallelogram
(c) rectangle
(d) trapezium.
Answer : (d) trapeziumShow Answer :
Question :The area of a rectangle of length a and breadth b is
(a) a + b
(b) ab
(c) a² + b²
(d) 2ab.
Answer : (b) abShow Answer :
Question :The area of a square of side a is
(a) a
(b) a²
(c) 2a
(d) 4a.
Answer : (b) a²Show Answer :
Question :The area of a triangle with base b and altitude h is
(a)
(b) bh
(c)
(d)
Answer : (a) Show Answer :
Question :The area of a parallelogram of base b and altitude h is
(a)
(b) bh
(c)
(d)
Answer : (b) bhShow Answer :
Question :The area of a circle of radius r is
(a)
(b) r²
(c) πr².
(d)
Answer : (b) r²Show Answer :
Question :1 cm³ =
(a) 1000 mm³
(b) 100 mm³
(c) 10 mm³
(d)
Answer : (a) 1000 mm³Show Answer :
Question :1 m³ =
(a ) 1000000 cm³
(b) 100 cm³
(c) 10 cm³
(d)
Answer : (a ) 1000000 cm³Show Answer :
Question :1 mm³ =
(a) 0.001 cm³
(b) 0.01 cm³
(c) 0.1 cm³
(d) 1000 cm³
Answer : (a) 0.001 cm³Show Answer :
Question :1 cm³ =
(a) 0.000001 m³
(b) 0.01 m³
(c) 0.1 m³
(d) 1000 m³
Answer : (a) 0.000001 m³Show Answer :
Question :The surface area of a cuboid of length l, breadth b and height h is
(a ) lbh
(b) lb + bh + hl
(c) 2 (lb + bh + hl)
(d) 2(l + b)h.
Answer : (c) 2 (lb + bh + hl)Show Answer :
Question :The surface area of a cube of edge a is
(a) 4a²
(b) 6a²
(c) 3a²
(d) a².
Answer : (b) 6a²Show Answer :
Question :The total surface area of a cylinder of base radius r and height h is
(a) 2πr (r + h)
(b) πr (r + h)
(c) 2πrh
(d) 2πr².
Answer : (a) 2πr (r + h)Show Answer :
Question :The volume of a cuboid of length l, breadth b and height h is
(a) lbh
(b) lb + bh + hl
(c) 2 (lb + bh + hl)
(d) 2 (l + b) h.
Answer : (a) lbhShow Answer :
Question :The volume of a cube of edge a is
(a) a²
(b) a³
(c) a4
(d) 6a²
Answer : (b) a³Show Answer :
Question :The volume of a cylinder of base radius r and height h is
(a) 2πrh
(b) πr²h
(c) 2πr (r + h)
(d)
Answer : (b) πr²hShow Answer :
Question :1 L =
ia) 10 cm³
(b) 100 cm³
(c) 1000 cm³
(d) 10000 cm³.
Answer : (c) 1000 cm³Show Answer :
Question :1 m³ =
(a) 1 L
(b) 10 L
(c) 100 L
(d) 1000 L.
Answer : (d) 1000 L.Show Answer :
Question :The perimeter of the figure is
(a) 7 cm
(b) 14 cm
(c) 12 cm
(d) 24 cm.
Answer : (b) 14 cmShow Answer :
Hint:
Perimeter = 2 (4 + 3) = 14 cm.
Question :The area of the figure is
(a) 8 cm²
(b) 6 cm²
(c) 12 cm²
(d) 16 cm²
Answer : (c) 12 cm²Show Answer :
Hint:
Area = 6² = 12 cm².
Question :The perimeter of the figure is
(a) 5 cm
(b) 10 cm
(c) 4 cm
(d) 8 cm.
Answer : (b) 10 cmShow Answer :
Hint:
Perimeter = 2 (4 + 1) = 10 cm.
Question :The area of the figure is
(a) 6 cm²
(b) 12 cm²
(c) 5 cm²
(d) 10 cm²
Answer : (a) 6 cm²Show Answer :
Hint:
Area = 3 × 2 = 6 cm².
Question :The perimeter of the figure is
(a) 12 cm
(b) 24 cm
(c) 6 cm
(d) 60 cm.
Answer : (a) 12 cmShow Answer :
Hint:
Perimeter = 4 + 3 + 5 = 12 cm.
Question :The area of the figure is
(a) 9 cm²
(b) 18 cm²
(c) 12 cm²
(d) 15 cm²
Answer : (a) 9 cm²Show Answer :
Hint:
Area =
Question :The perimeter of the figure is
(a) 4 cm
(b) 6 cm
(c) 8 cm
(d) 12 cm.
Answer : (c) 8 cmShow Answer :
Hint:
Perimeter = 4 × 2 = 8 cm.
Question :The area of the figure is
(a) 16 cm²
(b) 8 cm²
(c) 4 cm²
(d) 12 cm²
Answer : (a) 16 cm²Show Answer :
Hint:
Area = 4 × 4 = 16 cm².
Question :The area of the figure is
(a) 77 cm²
(b) 154 cm²
(c) 38.5 cm²
(d) none of these
Answer : (a) 77 cm²Show Answer :
Hint:
Area =
Question :The area of the trapezium is
(a) 9 cm²
(b) 6 cm²
(c) 7 cm²
(d) 24 cm²
Answer : (a) 9 cm²Show Answer :
Hint:
Area =
Question :The area of the trapezium is
(a) 6 cm²
(b) 4 cm²
(c) 3 cm²
(d) 9 cm²
Answer : (a) 6 cm²Show Answer :
Hint:
Area =
Question :The perimeter of the trapezium is
(a) 12 cm
(b) 24 cm
(c) 6 cm
(d) 18 cm.
Answer : (a) 12 cmShow Answer :
Hint:
Perimeter = 3 + 3 + 2 + 4 = 12 cm.
Question :The area of the quadrilateral is
(a) 3.75 cm²
(b) 7.5 cm²
(c) 3 cm²
(d) 10 cm²
Answer : (a) 3.75 cm²Show Answer :
Hint:
Area =
= 3.75 cm².
Question :The area of the quadrilateral is
(a) 10 cm²
(b) 5 cm²
(c) 20 cm²
(d) 15 cm²
Answer : (a) 10 cm²Show Answer :
Hint:
Area = 2(
Question :The area of the quadrilateral is
(a) 6 cm²
(b) 12 cm²
(c) 3 cm²
(d) 8 cm²
Answer : (a) 6 cm²Show Answer :
Hint:
Area =
Question :The area of a rhombus is 60 cm². One diagonal is 10 cm. The other diagonal is
(a) 6 cm
(b) 12 cm
(c) 3 cm
(d) 24 cm.
Answer : (b) 12 cmShow Answer :
Hint:
Question :The area of a trapezium is 40 cm². Its parallel sides are 12 cm and 8 cm. The distance between the parallel sides is
(a) 1 cm
(b) 2 cm
(c) 3 cm
(d) 4 cm.
Answer : (d) 4 cm.Show Answer :
Hint:
Question :8 persons can stay in a cubical room. Each person requires 27 m³ of air. The side of the cube is
(a) 6 m
(b) 4 m
(c) 3 m
(d) 2 m.
Answer : (a) 6 mShow Answer :
Hint:
Volume = 8 × 27 = 216 m³
∴ side =
Question :If the height of a cuboid becomes zero, it will take the shape of a
(a) cube
(b) parallelogram
(c) circle
(d) rectangle.
Answer : (d) rectangle.Show Answer :
Question :The volume of a room is 80 m³. The area of the floor is 20 m². The height of the room is
(a) 1 m
(b) 2 m
(c) 3 m
(d) 4 m.
Answer : (d) 4 mShow Answer :
Hint:
Height =
Question :The floor of a room is a square of side 6 m. Its height is 4 m. The volume of the room is
(a) 140 m³
(b) 142 m³
(c) 144 m³
(d) 145 m³
Answer : (c) 144 m³Show Answer :
Hint:
Volume = 6 × 6 × 4 = 144 m³.
Question :The base radius and height of a right circular cylinder are 14 cm and 5 cm respectively. Its curved surface is
(a) 220 cm²
(b) 440 cm²
(c) 1232 cm²
(d) 2π × 14 × (14 + 5) cm²
Answer : (b) 440 cm²Show Answer :
Hint:
Curved surface = 2 ×
= 440 cm².
Question :The heights of two right circular cylinders are the same. Their volumes are respectively 16π m³ and 81π m³. The ratio of their base radii is
(a) 16 : 81
(b) 4 : 9
(c) 2 : 3
(d) 9 : 4.
Answer : (b) 4 : 9Show Answer :
Hint:
Question :The ratio of the radii of two right circular cylinders is 1 : 2 and the ratio of their heights is 4 : 1. The ratio of their volumes is
(a) 1 : 1
(b) 1 : 2
(c) 2 : 1
(d) 4 : 1.
Answer : (a) 1 : 1Show Answer :
Hint:
Question :A glass in the form of a right circular cylinder is half full of water. Its base radius is 3 cm and height is 8 cm. The volume of water is
(a) 18π cm³
(b) 36π cm³
(c) 9π cm³
(d) 36 cm³
Answer : (b) 36π cm³Show Answer :
Hint:
Volume =
Question :The base area of a right circular cylinder is 16K cm³. Its height is 5 cm. Its curved surface area is
(a) 40π cm²
(b) 30π cm²
(c) 20π cm²
(d) 10π cm²
Answer : (a) 40π cm²Show Answer :
Hint:
πr² = 16π ⇒ r = 4 cm
∴ Curved surface area
= 2 × π × 4 × 5 = 40π cm²
Question :The base radius and height of a right circular cylinder are 5 cm and 10 cm. Its total surface area is
(a) 150π cm²
(b) 300π cm²
(c) 150 cm²
(d) 300 cm²
Answer : (a) 150π cm²Show Answer :
Hint:
Total surface area = 2πr (h + r)
= 2π 5 (10 + 5) = 150π cm².
Question :If the length and breadth of a rectangle are 10 cm and 5 cm, respectively, then its area is:
(a) 100 sq.cm
(b) 150 sq.cm
(c) 115 sq.cm
(d) 200 sq.cm
Answer : (b) 150 sq.cmShow Answer :
Hint:
Length = 10 cm
And breadth = 5 cm
Area of rectangle = Lenght x breadth
= 10 x 5
= 150 cm2
Question :The area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm is:
(a) 41 cm2
(b) 82 cm2
(c) 410 cm2
(d) 820 cm2
Answer : (a) 41 cm2Show Answer :
Hint:
Area of rhombus = ½ d1 d2
A = ½ x 10 x 8.2
A = 41 cm2
Question :The area of a trapezium is 480 cm2, the distance between two parallel sides is 15 cm and one of the parallel side is 20 cm. The other parallel side is:
(a) 20 cm
(b) 34 cm
(c) 44 cm
(d) 50 cm
Answer : (c) 44 cmShow Answer :
Hint:
Area of trapezium = ½ h (a + b)
a=20 cm, h = 15 cm, Area = 480 sq.cm
480 = ½ (15) (20 + b)
20 + b = (480 x 2)/15
20 + b = 64
b = 44cm
Question :The area of a rhombus is 240 cm2 and one of the diagonals is 16 cm. Find the other diagonal.
(a) 16 cm
(b) 20 cm
(c) 30 cm
(d) 36 cm
Answer : (c) 30 cmShow Answer :
Hint:
Area = 240 cm2
d1 = 16 cm
Area of rhombus = ½ d1 x d2
240 = ½ x 16 x d2
d2 = 480/16 = 30 cm
Question :A cuboid has ______ pairs of identical faces.
(a) 2
(b) 3
(c) 4
(d) 5
Answer : (b) 3Show Answer :
Hint:
All six faces are rectangular, and opposites faces are identical. So there are three pairs of identical faces.
Question :All six faces of a cube are:
(a) Identical
(b) Different
(c) Circular
(d) Rectangular
Answer : (a) IdenticalShow Answer :
Hint:
All six faces are squares and identical
Question :A cylindrical box has ____ curved surface and ____ circular faces, which are identical.
(a) One, One
(b) One, two
(c) two, one
(d) two, two
Answer : (b) One, twoShow Answer :
Hint:
A cylindrical box having circular bases have identical top. One curved surface and two circular faces which are identical.
Question :If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:
(a) 1100 cm2
(b) 1200 cm2
(c) 1300 cm2
(d) 1400 cm2
Answer : (c) 1300 cm2Show Answer :
Hint:
Total surface area = 2 (20 × 15 + 20 × 10 + 10 × 15)
TSA = 2 ( 300 + 200 + 150) = 1300 cm2
Question :The height of a cylinder whose radius is 7 cm and the total surface area is 968 cm2 is:
(a) 15 cm
(b) 17 cm
(c) 19 cm
(d) 21 cm
Answer : (a) 15 cmShow Answer :
Hint:
Total surface area = 2πr (h + r)
968 = 2 x 22/7 x 7 (7+h)
h = 15 cm
Question :The height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 is:
(a) 10 cm
(b) 11 cm
(c) 12 cm
(d) 13 cm
Answer : (b) 11 cmShow Answer :
Hint:
Volume of a cuboid = Base area × Height
Height = Volume / Base area
H = 275/25 = 11 cm
Question : Surface area of a cuboid = __
(a) 2 h (l + b)
(b) 2lbh
(c) 2(lb + bh + hl)
(d) None of these
Answer :(c) 2(lb + bh + hl)Show Answer :
Question : The area of a rectangle of length a and breadth b is
(a) a + b
(b) ab
(c) a² + b²
(d) 2ab.
Answer :(d) abShow Answer :
Question : The area of a rhombus is 70 cm². One diagonal is 14 cm. The other diagonal is
(a) 20 cm
(b) 10 cm
(c) 5 cm
(d) 15 cm
Answer :(d) 10 cmShow Answer :
Question : Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm.
(a) 215 cm³
(b) 172 cm³
(c) 150 cm³
(d) 168 cm³
Answer :(d) 168 cm³Show Answer :
Question : If a coin is flipped in the air, what is the probability of getting a tail?
(a) 0
(b) ½
(c) 1
(d) 2
Answer :(d) ½Show Answer :
Question : Two dimensional figure is a
(a) solid figure
(b) plane figure
(c) cylinder figure
(d) None of these
Answer :(d) plane figureShow Answer :
Question : The area of a square of side a is
(a)a
(b) a²
(c) 2a
(d) 4a.
Answer :(d) a²Show Answer :
Question : The area of a rhombus is 60 cm² and one diagonal is 10 cm. The other diagonal is
(a) 6 cm
(b) 12 cm
(c) 3 cm
(d) 24 cm
Answer :(d) 12 cmShow Answer :
Question : The area of a trapezium is
(a) 1/2 (sum of parallel sides) × h
(b) 2 (sum of parallel sides) × h
(c) (sum of parallel sides) × h
(d) 1/2 (sum of parallel sides) + h
Answer :(a) 1/2 (sum of parallel sides) × hShow Answer :
Question : If a die is thrown in air, the probability of getting even numbers is:
(a) ½
(b) ⅙
(c) ⅓
(d) ⅔
Answer :(d) ⅙Show Answer :
Question : The formula for finding lateral surface area of cylinder is
(a) 2πrh
(b) πr²
(c) 2πr(r+h)
(d) 2πr
Answer :(a) 2πrhShow Answer :
Question : 1 mm³ =
(a) 0.001 cm³
(b) 0.01 cm³
(c) 0.1 cm³
(d) 1000 cm³
Answer :(a) 0.001 cm³Show Answer :
Question : The height of two right circular cylinders are the same. Their volume’s are respectively 16 π m³ and 81 π m³. The ratio of their base radius is
(a) 16 : 81
(b) 9 : 14
(c) 2 : 3
(d) 4 : 9
Answer :(d) 4 : 9Show Answer :
Question : Solid figures are
(a) 2 D
(b) 3 D
(c) 1 D
(d) 4 D
Answer :(d) 3 DShow Answer :
Question : Double bar graphs display __ sets of data simultaneously.
(a) Four
(b) Three
(c) Two
(d) No
Answer :(c) TwoShow Answer :
Question : Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm.
(a) 168 cm³
(b) 168 cm³
(c) 215 cm³
(d) 150 cm³
Answer :(d) 168 cm³Show Answer :
Question : The total surface area of a cylinder of base radius r and height h is
(a) 2πr (r + h)
(b) πr (r + h)
(c) 2πrh
(d) 2πr².
Answer :(a) 2πr (r + h)Show Answer :
Question : If base area of a room is 30 m² and height is 3 m then its volume is
(a) 900 m³
(b) 90 m³
(c) 33 m³
(d) 33 m³
Answer :(d) 90 m³Show Answer :
Question : Two dimensional figure is a
(a) solid figure
(b) plane figure
(c) cylinder figure
(d) None of these
Answer :(d) plane figureShow Answer :
Question : In grouped data, each of the group is called:
(a) Class interval
(b) Collection of data
(c) Frequency
(d) Grouped frequency distribution
Answer :(a) Class intervalShow Answer :
Question : Diagonals of rhombus are
(a) equal
(b) half of one diagonal
(c) of different length
(d) none of above
Answer :(c) of different lengthShow Answer :
Question : 1 L =
(a) 10 cm³
(b) 100 cm³
(c) 1000 cm³
(d) 10000 cm³.
Answer :(c) 1000 cm³Show Answer :
Question : If the edge of a cube is 1cm then which of the following is its volume?
(a) 6 m³
(b) 3 m³
(c) 1 m³
(d) none of these
Answer :(c) 1 m³Show Answer :
Question : The amount of space occupied by a three dimensional objects is called its
(a) area
(b) surface area
(c) volume
(d) lateral surface area
Answer :(c) volumeShow Answer :
Question : The difference between the upper class limit and lower class limit of a class interval is called:
(a) Frequency
(b) Width
(c) Grouped data
(d) Ungrouped data
Answer :(d) WidthShow Answer :
Question : Find the total surface area of a cube whose volume is 343 cm³.
(a) 350 cm²
(b) 294 cm²
(c) 494 cm²
(d) 200 cm²
Answer :(d) 294 cm²Show Answer :
Question : The volume of a room is 80 m³. The area of the floor is 20 m². The height of the room is
(a) 1 m
(b) 2 m
(c) 3 m
(d) 4 m.
Answer :(d) 4 mShow Answer :
Question : Diagonals of rhombus are
(a) equal
(b) half of one diagonal
(c) of different length
(d) none of above
Answer :(c) of different lengthShow Answer :
Question :The formula for lateral surface area of cuboid is
(a) 2h (l + b)
(b) 2l (h + b)
(c) 2b (l + h)
(d) 2 (lb + bh + hl)
Answer : (a) 2h (l + b)Show Answer :
Question :The cost of papering the wall of a room, 12 m long, at the rate of Rs. 1.35 per square meter is Rs. 340.20. The cost of matting the floor at Re. 0.85 per square metre is Rs. 91.80. Find the height of the room.
(a) 12 m
(b) 8 m
(c) 6 m
(d) 10 m
Answer : (c) 6 mShow Answer :
Question :Surface area of a cuboid = __________
(a) 2 h (l + b)
(b) 2lbh
(c) 2(lb + bh + hl)
(d) None of these
Answer : (c) 2(lb + bh + hl)Show Answer :
Question :The length of parallel sides of trapezium is 14 cm and 6 cm and its height is 5 cm. Its area will be
(a) 50 cm2
(b) 100 cm2
(c) 210 cm2
(d) 10 cm2
Answer : (a) 50 cm2Show Answer :
Question :Two dimensional figure is a
(a) solid figure
(b) plane figure
(c) cylinder figure
(d) None of these
Answer : (b) plane figureShow Answer :
Question :A rectangular paper of width 7 cm is rolled along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder.
(a) 8800 cm3
(b) 8800 cm
(c) 8800 cm2
(d) none of these
Answer : (a) 8800 cm3Show Answer :
Question :The formula for finding lateral surface area of cylinder is
(a) 2πrh
(b) πr2
(c) 2πr(r+h)
(d) 2πr
Answer : (a) 2πrhShow Answer :
Question :Which of the following is an example of two dimensions
(a) cuboid
(b) cone
(c) sphere
(d) circle
Answer : (d) circleShow Answer :
Question :Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm.
(a) 168 cm2
(b) 168 cm3
(c) 215 cm3
(d) 150 cm3
Answer : (b) 168 cm3Show Answer :
Question :In a quadrilateral, half of the product of the sum of the lengths of parallel sides and the parallel distance between them gives the area of
(a) rectangle
(b) parallelogram
(c) triangle
(d) trapezium
Answer : (d) trapeziumShow Answer :
Question :Diagonals of rhombus are
(a) equal
(b) half of one diagonal
(c) of different length
(d) none of above
Answer : (c) of different lengthShow Answer :
Question :The area of four walls of the room is
(a) 2 (lb + bh + hl)
(b) 2l (h + b)
(c) 2 (lb × bh × hl)
(d) 2h (l + b)
Answer : (d) 2h (l + b)Show Answer :
Question :Find the height of cuboid whose volume is 490 cm3 and base area is 35 cm3.
(a) 12 cm
(b) 14 cm
(c) 10 cm
(d) 16 cm
Answer : (b) 14 cmShow Answer :
Question :The amount of space occupied by a three dimensional objects is called its
(a) area
(b) surface area
(c) volume
(d) lateral surface area
Answer : (c) volumeShow Answer :
Question :A cylindrical tank has a capacity of 5632 m3. If the diameter of its base is 16 m, find its depth.
(a) 66m
(b) 30 m
(c) 26 m
(d) 28 m
Answer : (d) 28 mShow Answer :
Question :Find the total surface area of a cube whose volume is 343 cm3.
(a) 350 cm2
(b) 294 cm2
(c) 494 cm2
(d) 200 cm2
Answer : (b) 294 cm2Show Answer :
Question :Solid figures are
(a) 2 D
(b) 3 D
(c) 1 D
(d) 4 D
Answer : (b) 3 DShow Answer :
Question :The area of a trapezium is
(a)
(b) 2 (sum of parallel sides) × h
(c) (sum of parallel sides) × h
(d)
Answer : (a) Show Answer :
Question :The formula for finding total surface area of cuboid is
(a) 2 (lb × bh × hl)
(b) 2 (lb + bh + hl)
(c) 2h (l + b)
(d) 2 lb (bh + hl)
Answer : (b) 2 (lb + bh + hl)Show Answer :
Question :Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm.
(a) 215 cm3
(b) 172 cm3
(c) 150 cm3
(d) 168 cm3
Answer : (d) 168 cm3Show Answer :
Question : Area of a triangle with base (b) and height (h) is:
A. b.h
B. ½ b.h
C. 2b.h
D. None of these
Answer : B. ½ b.hShow Answer :
Question : Area of the square with side-length ‘a’ is:
A. 2a
B. 4a
C. a/2
D. a2
Answer : D. a2Show Answer :
Question : The area of a parallelogram with length (l) and breadth (b) is:
A. ½ lb
B. 2lb
C. lb
D. (lb)2
Answer : C. lbShow Answer :
Question : Area of a circle with radius ‘r’ is:
A. πr²
B. ½ πr²
C. 2πr²
D. 4πr²
Answer : A. πr²Show Answer :
Question : 1 cm is equal to how many millimeters?
A. 10
B. 100
C. 1/10
D. 1/100
Answer : A. 10Show Answer :
1 cm = 10 mm
Question : Surface area of cube of edge ‘a’ is:
A. 4a²
B. 6a²
C. 3a²
D. a²
Answer : B. 6a²Show Answer :
Question : Volume of a cuboid of length (l), width (w) and height (h) is:
A. lbh
B. lb + bh + hl
C. 2 (lb + bh + hl)
D. 2 (l + b) h
Answer : A. lbhShow Answer :
Question : Volume of a cylinder with base radius = r and height = h, is:
A. 2πrh
B. πr²h
C. 2πr (r + h)
D. 1/3 πr²h
Answer : B. πr²hShow Answer :
Question : 1 litre is equal to how many cubic centimeters?
A. 10 cu.cm
B. 100 cu.cm
C. 1000 cu.cm
D. 10000 cu.cm
Answer : C. 1000 cu.cmShow Answer :
Question : The perimeter of a rectangle with length (l) and width (w) is:
A. l+w
B. 2(l+w)
C. (l+w)2
D. lw
Answer : B. 2(l+w)Show Answer :
Question : If the length and breadth of a rectangle are 15cm and 10cm, respectively, then its area is:
(a) 100 sq.cm
(b) 150 sq.cm
(c) 115 sq.cm
(d) 200 sq.cm
Answer :BShow Answer :
Explanation: Length = 15 cm
And breadth = 10 cm
Area of rectangle = Length x breadth
= 15 x 10
= 150 cm2
Question : The area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm is:
(a) 41 cm2
(b) 82 cm2
(c) 410 cm2
(d) 820 cm2
Answer :AShow Answer :
Explanation: Area of rhombus = ½ d1 d2
A = ½ x 10 x 8.2
A = 41 cm2
Question : The area of a trapezium is 480 cm2, the distance between two parallel sides is 15 cm and one of the parallel side is 20 cm. The other parallel side is:
(a) 20 cm
(b) 34 cm
(c) 44 cm
(d) 50 cm
Answer :CShow Answer :
Explanation: Area of trapezium = ½ h (a+b)
a=20cm, h = 15cm, Area = 480 sq.cm
480 = ½ (15) (20+b)
20+b = (480 x 2)/15
20+b=64
b=44cm
Question : The area of a rhombus is 240 cm2 and one of the diagonals is 16 cm. Find the other diagonal.
(a) 16 cm
(b) 20 cm
(c) 30 cm
(d) 36 cm
Answer :CShow Answer :
Explanation: Area = 240 cm2
d1 = 16 cm
Area of rhombus = ½ d1 x d2
240 = ½ x 16 x d2
d2 = 480/16 = 30 cm
Question : A cuboid has ______ pairs of identical faces.
(a) 2
(b) 3
(c) 4
(d) 5
Answer :BShow Answer :
Explanation: All six faces are rectangular, and opposites faces are identical. So there are three pairs of identical faces.
Question : All six faces of a cube are:
(a) Identical
(b) Different
(c) Circular
(d) Rectangular
Answer :AShow Answer :
Explanation: All six faces are squares and identical
Question : A cylindrical box has ____ curved surface and ____ circular faces, which are identical.
(a) One, One
(b) One, two
(c) two, one
(d) two, two
Answer :BShow Answer :
Explanation: A cylindrical box having circular bases have identical top. One curved surface and two circular faces which are identical.
Question : If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:
(a) 1100 cm2
(b) 1200 cm2
(c) 1300 cm2
(d) 1400 cm2
Answer :CShow Answer :
Explanation: Total surface area = 2 (20 × 15 + 20 × 10 + 10 × 15)
TSA = 2 ( 300 + 200 + 150) = 1300 cm2
Question : The height of a cylinder whose radius is 7 cm and the total surface area is 968 cm2 is:
(a) 15 cm
(b) 17 cm
(c) 19 cm
(d) 21 cm
Answer :AShow Answer :
Explanation: Total surface area = 2πr (h + r)
968 = 2 x 22/7 x 7 (7+h)
h = 15 cm
Question : The height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 is:
(a) 10 cm
(b) 11 cm
(c) 12 cm
(d) 13 cm
Answer :BShow Answer :
Explanation: Volume of a cuboid = Base area × Height
Height = Volume / Base area
H = 275/25 = 11 cm