The sides of the three cubes of metal are 15 cm, 18 cm…

The sides of the three cubes of metal are 15 cm, 18 cm, and 25 cm, respectively. Find the side (in cm) of the new cube formed by melting these cubes together.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 4 $\sqrt [3]{ 388}$ .

Area of Cube = a³

The sum of the area of three small cubes = the Area of the big cube

⇒ 15³+18³+ 25³ = Area of the big cube

⇒ 3375+ 5832+ 15625 = Area of the big cube

The area of the big cube = 24,832 cm³

So, the side of the big cube = $\sqrt [3]{ 24832}$ = 4 $\sqrt [3]{ 388}$

SSC CHSL 2023 PYQ — Question 54