Question

The total surface area of a cube is 294cm². Find its volume.

Answer 1

Given that:
T.S.A. of cube = 294cm²
i.e., 6 x l x l = 294    ...[∵ T.S.A. of cube = 6 x l²]

l² = `(294)/(6)`
l² = 49
l = `sqrt(49)`
= 7cm
∴ Side (l) = 7cm
∴ Volume of cube
= l x l x l
= 7 x 7 x 7
= 343cm³.