Question

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

Answer 1

At = 6×L² = 294 cm²

L² = 294cm²/6

L² = 49cm²

L = 7 cm

V = L³

= (7cm)³

= 343 cm³

Answer 2

`\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= (294)/(6) \\ a^2=(49*6)/(6) \\ a^2=49 \\ a=√(49) \\ a=7 \ m \\ \text{Volume of cube with Side $a$ is } a^3 \\ V= 7^3=49*7 \\ \text{volume of the cube is } 343 \ m^3`