Question

the total surface area of cube is 1176cm square.find its volume.

Answer 1

TSA of cube  = 6a²
6a² = 1176cm
a² = 1176 / 6
a²  =196cm
a = √196
a = 13

volume  = a³
              = 13³
              =13*13*13*cm*cm*cm
              =2194cm³

Answer 2

Let each side of the cube be a cm

Then, the total surface area of the cube = $(6a^2) cm^2$

$6a^2 = 1176 => a^2=196 => a =√196 = 14$

Volume of the cube = $a^3 cm^3$

= $(14 × 14 × 14)cm^3$

= $2744cm^3$