SSC GD 2021 PYQ — Question 66

SSC GD Constable (English) - 22nd November 2021 Shift 3 • Quantitative Aptitude • Q66

The surface areas of three coterminous faces of a cuboid are 5 cm2, 16 cm2 and 20 cm2 respectively. Find the volume of the cuboid.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 40 cm3

We have given,

The surface areas of three coterminous faces of a cuboid are 5 cm2, 16 cm2 and 20 cm2 respectively.

Area of the cuboid = lbh

lb = 5

bh = 16

hl = 20

So,

lb × bh × hl = 5 × 16 × 20 =1600 

(lbh)2 = 1600

lbh = 40 cm3