Question

The total surface area of a cube is 294 cm ² work out the volume of the cube

Answer 1

$\text{ Total Surface Area of cube, with Side a is } 6a^2 \\ \text{ (six times the area of each face)} \\ 6a^2=294 \ m^2 \\ a^2= \frac{294}{6} \\ a^2=\frac{49\times6}{6} \\ a^2=49 \\ a=\sqrt{49} \\ a=7 \ m \\ \text{Volume of cube with Side a is } a^3 \\ V= 7^3=49\times7 \\ \text{volume of the cube is } 343 \ m^3$

Answer 2

At = 6×L² = 294 cm²

L² = 294cm²/6

L² = 49cm²

L = 7 cm

V = L³

= (7cm)³

= 343 cm³