Question

The total surface area of a cube is 294 sq m. What is the volume of this cube?

Answer 1

Total surface area of the cube = 6 × (side)²
294 = 6 × (side)²
$\frac{294}{6}={\left(\mathrm{side}\right)}^2$ (On dividing both the sides by 6)
49 = (side)²
(7)² = (side)²
7 m = side
∴ Side of the cube is 7 m.
Now, volume of the cube = (side)³
= (7)³ m³
= 343 m³