# 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 cm^{3}

(B) 125 cm^{3}

(C) 200 cm^{3}

(D) 400 cm^{3}

Ans: B

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

∴ Volume = (5 × 5 × 5) cm^{3} = 125 cm^{3}.

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 m^{3}

(B) 420 m^{3}

(C) 440 m^{3}

(D) 480 m^{3}

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)]m^{3} = (512 – 72)m^{3} = 440 m^{3}

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 m^{3}. 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 = 8^{3} cu.m = 512 cu.m.

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