SSC CHSL 2022 PYQ — Question 66

SSC CHSL - 2 June 2022 - Shift 3 • Quantitative Aptitude • Q66

After melting three cubes of sides 6 cm, 8 cm and 10 cm, a big cube is made. Find the side of the new cube.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 12 cm.

The volume of a cube = edge3

Let the edge of the new cube be x cm.

The volume of the new cube = Sum of the volumes of all the three smaller cubes

x3 = 63 + 83 + 103

x3 = 216 + 512 + 1000

x3 = 1728

x3 = 123

x = 12 cm