Question

If a cube has a total surface area of the six faces equal to 864 square feet, what is the volume of the cube? [3 MARKS]

Answer 1

Formula of surface area: 0.5 Marks
Concept : 0.5 Marks
Solution : 2 Marks​

Total Surface area of cube
$=6a^2$

Given,
$6a^2=864$

$a^2=\frac{864}{6}=144$

$a=12$

Volume of the cube
$=a^3={12}^3=1728f{t}^3$