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vitfil [10]
4 years ago
11

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 l

ateral surface area?
Mathematics
2 answers:
musickatia [10]4 years ago
7 0

Answer:

1536

Step-by-step explanation:

masha68 [24]4 years ago
3 0
The answer is 3072 cm².

Lateral surface area of a pyramid can be expressed as:
L = P × l
where:
L - <span>Lateral surface area
P - Perimeter of a base
l - slant height

We have:
L = ?
P = ?
l = 24 cm
a = 32 cm

</span><span>Perimeter of a base which is a square is:
</span>P = 4 × a
P = 4 × 32 cm
P = 128 cm

Thus,
<span>L = P × l
</span>L = 128 cm × 24 cm
L = 3072 cm²

Therefore, <span>the lateral surface area is </span>3072 cm².
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