SSC GD 2023 PYQ — Question 44

SSC GD Constable (English) - 13 Jan 2023 - Shift 4 • Quantitative Aptitude • Q44

How many cubes of side 4 cm can be formed by melting a solid metallic cuboid of length 12 cm, breadth 8 cm and height 8 cm?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 12

Side of cube = 4 cm

Length of cuboid = 12 cm

Breadth of cuboid = 8 cm

Height of the cuboid = 8 cm

Volume of cube = side3 = 43 = 64

Volume of the cuboid = length × breadth × height = 12 × 8 × 8 = 768

According to the question -

Number of cubes = Volume of the cuboid/Volume of cube = 768/64 = 12