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In Mathematics / Middle School | 2014-05-12

The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid?

A. 108 in³
B. 36 in³
C. 72 in³
D. 144 in³

Asked by mjchey

Answer (2)

a = 6 in , h = 12 in V o l u m e = 3 1 ​ B ⋅ h B i s t h e a re a o f t h e ba se h i s t h e h e i g h t B = a 2 V = 3 1 ​ ⋅ a 2 ⋅ h = 3 1 ​ ⋅ 6 2 ⋅ 12 = 36 ⋅ 4 = 144 i n 3 A n s w er : D .144 i n 3

Answered by Lilith | 2024-06-10

The volume of the square pyramid is 144 cubic inches, calculated using the formula V = 3 1 ​ B h . The area of the base is 36 square inches and the height is 12 inches. Therefore, the correct answer is D. 144 in³.
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Answered by Lilith | 2024-12-10

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