A rectangular pyramid has a volume of  480 in.3 . If a rectangular prism has a base and height congruent to the pyramid, what is the volume of the prism?(1 point)

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1 answer

The volume of a rectangular pyramid is calculated using the formula:

\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]

Given that the volume of the rectangular pyramid is 480 in³, we want to find the volume of a rectangular prism that has the same base and height as the pyramid.

The volume of a rectangular prism is calculated using the formula:

\[ V = \text{Base Area} \times \text{Height} \]

Since the prism has the same base area and height as the pyramid, we can see that the volume of the prism would be three times the volume of the pyramid because:

\[ \text{Volume of Prism} = 3 \times \text{Volume of Pyramid} = 3 \times 480 , \text{in}^3 = 1440 , \text{in}^3 \]

Thus, the volume of the rectangular prism is 1440 in³.