For a project on Egypt, Nick is building a paper model of a square based pyramid. The square base measures 8 inches by 8 inches. The height is 9.2 inches. If Nick carves a piece of foam to place inside the pyramid for support, which measurement BEST describes the amount of foam used? (round to nearest whole number)

Responses
A 196 in2
196 in 2
B 196 in3
196 in 3
C 224 in3
224 in 3
D 224 in2

1 answer

The correct answer is B.

To find the volume of the foam needed to support the pyramid, we can use the formula for the volume of a pyramid:

V = (1/3) * base area * height

The base area is the area of the square base, which is 8 inches by 8 inches:

base area = 8 in * 8 in = 64 in^2

Plugging in the given height of 9.2 inches:

V = (1/3) * 64 in^2 * 9.2 in ≈ 196 in^3

Therefore, Nick would need approximately 196 cubic inches of foam to support his paper pyramid.