The pyramid shown has a square base that is 32 32 centimeters on each side. The slant height is 24 24 centimeters. What is the lateral surface area?

The answer is 3072 cm².

Lateral surface area of a pyramid can be expressed as:

L = P * l

where:

L - Lateral surface area

P - Perimeter of a base

l - slant height

We have:

L = ?

P = ?

l = 24 cm

a = 32 cm

Perimeter of a base which is a square is:

P = 4 * a

P = 4 * 32 cm

P = 128 cm

Thus,

L = P * l

L = 128 cm * 24 cm

L = 3072 cm²

Therefore, the lateral surface area is 3072 cm².