SSC MTS 2024 PYQ — Question 7

SSC MTS - 14/10/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q7

A solid cuboid with dimensions 2 m × 4 m × 10 m is melted to form small solid cubes of side 8 cm. How many such cubes can be formed?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 156,250.

Cuboid dimensions: 2 m × 4 m × 10 m

Convert to cm: 200 cm × 400 cm × 1000 cm

Volume of cuboid = 200 × 400 × 1000 = 80,000,000 cm³

Volume of one cube = 8 × 8 × 8 = 512 cm³

Number of cubes = 80,000,000 ÷ 512 = 156,250