Question

A cube has a total surface of 294cm2 the volume of the cube is

Answer 1

Explanation:

Let the edge of the cube be s.

We know that

$\mathsf{Surface\:Area\:of\:a\:cube=6s^2}$

Since the area is already given to be 294 sq. cm, we can say that

$\mathsf{6s^2=294}$

$\mathsf{==>s^2=\frac{294}{6}}$

$\mathsf{==>s^2=49}$

$\mathsf{==>s=\sqrt{49}}$

∴ $\mathsf{s=7\:cm}$

∴ $\mathsf{Volume\:of\:the\:cube=s^3=7^3=343\:cm^3}$

Answer: 343 cm cube.

I hope this helps. :D