The volume of the trophy that has a pyramid shape is: 22 cubic inches.
The volume of a pyramid can be calculated by multiplying the area of the base of the pyramid together with the height of the pyramid, then divide by 3.
Volume of a pyramid is given as: V = 1/3(B)(h), where B is the base area of the pyramid and h is the height of the pyramid.
The given parameters of the pyramid-shaped trophy are:
Base area of the pyramid (B) = 6.6 square inches
Height of the pyramid (h) = 10 inches
Substitute B = 6.6 and h = 10 into V = 1/3(B)(h):
Volume of the pyramid-shaped trophy = 1/3(B)(h) = 1/3(6.6)(10)
Volume of the pyramid-shaped trophy = 1/3(B)(h) = 1/3(6.6)(10)
Volume of the pyramid-shaped trophy = (1 × 6.6 × 10)/3
Volume of the pyramid-shaped trophy = (66)/3
Volume of the pyramid-shaped trophy = 22 cubic inches.
In summary, the volume of the trophy that has a pyramid shape is: 22 cubic inches.
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