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?

• A. 1728 ft³
• B. 2744 ft³
• C. 4326 ft³
• D. 5428 ft³

Answer 1

The correct option is A 1728 ft³

Total Surface area of cube = 6$a^2$ = 864

$\Rightarrow$ $a^2$ = $\frac{864}{6}$ = 144 sq.ft

$\Rightarrow$ a = 12 ft

Volume of the cube =$a^3$ =​ ${12}^3$ = 1728 ft³