100+ Volume and Surface Area Aptitude Questions & Answers - 1

Question: 1

The perimeter of one face of a cube is 20 cm. Its volume must be

(A) 105 cm3

(B) 125 cm3

(C) 200 cm3

(D) 400 cm3

Ans: B

Edge of the cube = $$({20} / {4})$$cm = 5 cm.

∴ Volume = (5 × 5 × 5) cm3 = 125 cm3.

Question: 2

From a cube of side 8m, a square hole of 3m side is hollowed from end to end. What is the volume of the remaining solid?

(A) 400 m3

(B) 420 m3

(C) 440 m3

(D) 480 m3

Ans: C

Volume of the remaining solid

= Volume of the cube – Volume of the cuboid cut out from it

= [(8 × 8 × 8 ) – (3 × 3 × 8)]m3 = (512 – 72)m3 = 440 m3

Question: 3

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall 8 m x 6 m x 22.5 cm?

(A) 5600

(B) 6000

(C) 6200

(D) 6400

Ans: D

Number of bricks = $${Volume of the wall} / {Volume of 1 brick}$$ = $$({800 × 600 × 22.5} / {25 × 11.25 × 6})$$ = 6400.

Question: 4

The dimensions of a room are 15 m, 10 m and 8 m. The volume of a bag is 2.25 m3. The maximum number of bags that can be accommodated in the room is

(A) 531

(B) 532

(C) 533

(D) 550

Ans: C

Required number of bags

= $${Volume of the room} / {Volume of each bag}$$ = $${15 × 10 × 8} / {2.25}$$ = 533.33 = 533.

Question: 5

Each side of a cube measures 8 metres. What is the volume of the cube?

(A) 72 cu.m

(B) 172 cu.m

(C) 196 cu.m

(D) 512 cu.m.

Ans: D

Volume of the cube = 83 cu.m = 512 cu.m.

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