Question

A solid cuboid of dimensions 30 cm× 25 cm × 9 cm is melted and cast into two identical cubes find the length of cubes formed

Answer 1

Step-by-step explanation:

Volume of solid cuboid = length × breadth × height

= (30 × 25 × 9) cm^3

= 6750 cm^3

Volume of the 2 identical cubes = Volume of cuboid ( Since, the cuboid is melted to form 2 identical cubes)

So, Volume of 2 identical cubes = 6750 cm^3

Then, Volume of 1 cube = 6750 cm^3/2

=> a^3 = 3375 cm^3

Therefore, a = 3^√3375

= 15 cm

Therefore, Each side of cubes formed = 15cm.

Hope it helps :)