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SashulF [63]
3 years ago
9

Find the volume of a pyramid with a square base, where the perimeter of the

Mathematics
1 answer:
lianna [129]3 years ago
6 0

Answer:

42.7\,\,cubic\,\, meters

Step-by-step explanation:

Given: Perimeter of base of a pyramid = 12.8 m

Height of the pyramid = 12.5 m

To find: volume of a pyramid

Solution:

Perimeter of base of a pyramid = 12.8 m

As base of the pyramid is a square,

12.8 = 4(side\,\,of\,\,a\,\,square)

side of a square = \frac{12.8}{4}=3.2\,\,m

Area of a square (A) = (side\,\,of\,\,a\,\,square)^2=(3.2)^2=10.24\,\,m^2

Height of the pyramid (h) = 12.5 m

Volume of the pyramid = \frac{Ah}{3}=\frac{1}{3}(10.24)(12.5)=42.7\,\,cubic \,\,meters

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