Question

the perimeter of a face of a cube is 32 cm then its lateral surface area is​

Answer 1

[tex] = {a}^{4} \\ = {8}^{4} \\ = 8 \times 8 \times 8 \times 8 \\ = 4096 {cm}^{2}

Answer 2

Perimeter of a face of a cube

= Perimeter of a Square = 32 cm

= > 4 × Side = 32

=> 4 × a = 32 => a = 8 cm

side of a square = 8 cm = edge of a cube

Lateral Surface area of a cube

= 4 × ( edge ) ^ 2 = 4 × 8 × 8 =4 × 64 =256 cm^2