Three solid metallic cubes of sides 6 cm, 8 cm and 10 cm, respectively, were melted to form a new solid cube. Find the side (in cm) of the new solid cube.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 12.
Given:
Three solid metallic cubes of sides 6 cm, 8 cm and 10 cm
Formula used:
Volume of cube = (side)3 ----- (1)
Calculations:
Using equation (1), we get
Volume of 3 cubes = Volume of cube after casting
⇒ 63 + 83 + 103 = side3
⇒ 216 + 512 + 1000 = side3
⇒ side3 = 1728
⇒ side = 12