Question

If a solid cube of side 16 cm is cut into eight identical cubes. The side of each cube is ______.

पर्याय

• 2 cm

• 4 cm

• 6 cm

• 8 cm

Answer 1

If a solid cube of side 16 cm is cut into eight identical cubes. The side of each cube is 8 cm.

Explanation:

The volume of the original cube with side 16 cm is 16³ = 4096 cm³. When cut into 8 identical cubes, the volume of each small cube is \[\frac{4096}{8} = 512\text{ cm}^3\]. The side length of each small cube is \[\sqrt[3]{512} = 8\text{ cm}\].