Question

The surface area of a cube is 1350cm Find its volume

Answer 1

surface are = 1350
6a² = 1350
a² = 225
a = √225
a = 15
volume = a³ = 15³ = 3375 cm³

Answer 2

Let the length of the edge or side of a cube be = a meters

Surface area of one face of a cube = a² 
There are 6 equal faces on a cube.
Total surface area of a cube = 6 a² = 1, 350 square meters.

             a² = 1, 350 / 6 = 225  
               a = 15 meters
 
Volume is equal to a³ = 15 * 15 * 15 cubic meters = 3, 375 cubic meters.