Question

the LSA of a cube is 324 cm2. find its volume and TSA

Answer 1

LSA of cube = 4a^2

324 = 4a^2

a^2 = 81

a = 9 cm.

Therefore, TSA of cube = 6 a^2

TSA = 6 ☓ 9 ☓ 9 cm ^2

TSA = 486 cm^2

Volume of cube = side ^3

Volume = 9 ^3

Volume = 721 cm^3.

Answer 2

Lateral surface area of cube = 4 a^2

Here's a attachment of solution