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01-05-2020
Mathematics

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The volume of the prism shown is 1,080in,
What is the volume of a pyramid with the same base length, base width and height?
A. 360in³
B. 540in³
C. 1,080in³
D. 3,240

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sqdancefan sqdancefan

14-12-2020

9514 1404 393

Answer:

A. 360in³

Step-by-step explanation:

The formula for the volume of a prism is ...

A = Bh . . . . . . B is the base area; h is the height

The formula for the volume of a pyramid is ...

A = (1/3)Bh . . . B is the base area; h is the height

Clearly, the volume of a pyramid is 1/3 that of a prism with the same base area and height.

The pyramid volume is ...

(1/3)(1080 in³) = 360 in³ . . . . matches choice A

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