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question 24 of 50 the volume of a pyramid with a height of 4 inches and…

Question

question 24 of 50
the volume of a pyramid with a height of 4 inches and a base area of 15 in squared is 60 in cubed.
true
false

Explanation:

Step1: Recall pyramid volume formula

The formula for the volume \( V \) of a pyramid is \( V = \frac{1}{3}Bh \), where \( B \) is the base area and \( h \) is the height.

Step2: Substitute given values

Here, \( B = 15 \) square inches and \( h = 4 \) inches. Substitute into the formula: \( V = \frac{1}{3} \times 15 \times 4 \).

Step3: Calculate the volume

First, \( \frac{1}{3} \times 15 = 5 \), then \( 5 \times 4 = 20 \) cubic inches. The statement claims the volume is 60 cubic inches, which is incorrect.

Answer:

False