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Sagot :

The volume of the octagonal pyramid is 1302 cubic m if the length of the apothem is 7 m.

What is a pyramid that has an octagonal base?

The pyramid has an octagonal base with 8 isosceles triangular faces, known as an octagonal base pyramid.

The length of the apothem = 7 m

Side length = 9 m

The area of the one triangle = (1/2)×7×9 = 63/2 square m

The area of the octagonal base = 8(63/2) = 252 square m

The volume of the pyramid = (1/3)(base area)(height)

The volume of the pyramid = (1/3)(252)(15.5)

= 1302 cuibc m

Thus, the volume of the octagonal pyramid is 1302 cubic m if the length of the apothem is 7 m.

Learn more about the pyramid with an octagonal base here:

brainly.com/question/17615619

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