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