CBSE Class 10 Mathematics Chapter 13 Surface Areas and Volumes Multiple Choice Questions with Answers. MCQ Class 10 Maths Surface Areas and Volumes with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Surface Areas and Volumes MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 2
Question 1:
Given that 1 cu. cm of marble weighs 25 g, the weight of a marble block of 28 cm in width and 5 cm thick, is 112 kg. The length of the block is
(a) 36 cm
(b) 37.5 cm
(c) 32 cm
(d) 26.5 cm
Correct Answer – (C)
Question 2 :
How many bags of grain can be stored in a cuboid granary 12 m × 6 m × 5 m. If each bag occupies a space of 0.48 m3?
(a) 750
(b) 75
(c) 1500
(d) 375
Correct Answer – (A)
Question 3 :
If two solid hemispheres of the same base radius r are joined together along their bases, then curved surface area of this new solid is [NCERT Exemplar Problems]
(a) 4πr²
(b) 6πr²
(c) 3πr²
(d) 8πr²
Correct Answer – (A)
Question 4 :
A surahi is the combination of [NCERT Exemplar Problems]
(a) a sphere and a cylinder
(b) a hemisphere and a cylinder
(c) two hemispheres
(d) a cylinder and a cone
Correct Answer – (A)
Question 5 :
If two solid hemispheres of same base radius are joined together along their bases, then curved surface area of this new solid is
(a) 3πr²
(b) 4πr²
(c) 5πr²
(d) 6πr²
Correct Answer – (A)
Question 6 :
In a swimming pool measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is
(a) 27.33 cm
(b) 30 cm
(c) 31.33 cm
(d) 33.33 cm
Correct Answer – (D)
= 150 × 8 = 1200 m3
⇒ 90 × 40 × h = 1200
⇒ h = (1200)/(90×40) m = 33.33 cm
Question 7 :
The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is [AI2011]
(a) 4.2
(b) 2.1
(c) 8.1
(d) 1.05
Correct Answer – (B)
Edge of the cube = 4.2 cm
Diameter of base of largest possible cone = 4.2 cm 4 2
∴ Radius = 4.2/2 = 2.1 cm
Question 8 :
A cube whose edge is 20 cm long, has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest possible areas?
(a) 90.72 cm²
(b) 256.72 cm²
(c) 330.3 cm²
(d) 514.28 cm²
Correct Answer – (D)
Diameter of largest circle = 20 cm.
∴ Area of circle = 100π cm²
∴ Area of 6 circles = 6 × 100π = 600π cm² (∵ there are six faces in a cube)
Also, Area of cube = 6 × (20)² = 2400 cm²
Area of unpainted surface = 2400 – 600π
= 2400 – 600 × 22/7
= 514.28 cm².
Question 9 :
The radii of the top and bottom of a bucket of slant height 13 cm are 9 cm and 4 cm respectively. The height of the bucket is
(a) 10 cm
(b) 12 cm
(c) 15 cm
(d) 16 cm
Correct Answer – (B)
⇒ 169 = h² + 25
⇒ h² = 169 – 25
⇒ h² = 144
⇒ h = 12
Question 10 :
The curved surface area of glass having radii 3 cm and 4 cm respectively and slant height 10 cm is
(a) 55 cm²
(b) 110 cm²
(c) 220 cm²
(d) 440 cm²
Correct Answer – (C)
∴ Curved surface area = πl(r + R)
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.1
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.2
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.3
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.4
- NCERT Solutions Class 10 Mathematics Surface Areas and Volumes : Exercise 13.5
