Question

Each face of a cube has perimeter equal to 32cm . Find its surface area and it's volume .

Answer 1

Let each of cube be a

So, ATQ

4a=32
So, a=8

Surface area = 6a²
So, Surface area = 6×64 = 384cm².

Area = a³ = 512 cm².

Hope it helps!!!

Answer 2

Dear Student,

● Answer -

TSA = 384 cm^2

Volume = 512 cm^3

● Explanation -

Given that perimeter of each face is 32 cm.

Perimeter = 4 × side

32 = 4 × side

Side = 32 / 4

Side = 8 cm

Total surface area of cube is -

TSA = 6 × side^2

TSA = 6 × 8^2

TSA = 384 cm^2

Volume of the cube is -

Volume = side^3

Volume = 8^3

Volume = 512 cm^3

Thanks dear...