Mathematics
NatashiaWehn512
17

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?

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tasha0408

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.

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