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.