SSC GD 2019 PYQ — Question 72

SSC GD Constable (English) - 14 Feb 2019 Shift 2 • Quantitative Aptitude • Q72

The length, breadth and height of a solid cuboid is 14 cm, 12 cm and 8 cm respectively. If cuboid is melted to form identical cubes of side 2 cm, then what will be the number of identical cubes?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 168

If a shape is melted to any any other shape , their volume remains always same.

Volume of cuboid = Length × Breadth × Height

Volume of cube = Side3

The length, breadth and height of a solid cuboid is 14 cm, 12 cm and 8 cm (Given)

Volume of Cuboid = 14 × 12 × 8 = 1344

Volume of Cube = 23 = 8

No. of cubes = 1344/8 = 168.