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2 years ago

Please do it step by step!

Mathematics

1 answer:

andrey2020 [161]2 years ago

3 0

9514 1404 393

Answer:

80 in^3

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

V = 1/3Bh

where B is the area of the base, and h is the height of the pyramid. Here, h=8 in.

Here, the base is a triangle. The formula for its area is ...

A = 1/2bh

where b is the base segment of the triangle, and h is the height of the triangle perpendicular to the base segment. Here, b=10 in, and h = 6 in.

The triangular base area is ...

A = 1/2(10 in)(6 in) = 30 in^2 . . . . base area "B"

Using the above base area and pyramid height, we find the volume of the pyramid is ...

V = 1/3(30 in^2)(8 in) = 80 in^3

The volume of the pyramid is 80 cubic inches.

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