Question

If the total surface area of a cube is 486 $c{m}^2$, find the volume of the cube.

• A. 343 $c{m}^3$
  
• B. 481 $c{m}^3$
  
• C. 729 $c{m}^3$
  
• D. 981 $c{m}^3$
  

Answer 1

The correct option is C 729 $c{m}^3$


Total surface area of cube = 486 $c{m}^2$

Total surface area of cube = 6(Side)${}^2$
486 = 6(side)${}^2$
(Side)${}^2$ = 81
Side = 9 cm
Volume of the cube = (Side)${}^3$
Volume of the cube = (9)${}^3$ = 729 $c{m}^3$