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masya89 [10]
3 years ago
10

The top of a gate post is in the shape of a square pyramid. The height of the pyramid is 5 inches and each side of the base is 7

.4 inches. Find the volume of wood needed to make the top of the gate post. Round to the nearest tenth.
Mathematics
1 answer:
Delvig [45]3 years ago
7 0

Answer:

91.3 in³

Step-by-step explanation:

The formula for the volume of a pyramid is:

V = \frac{1}{3}Bh where B=area of the base and h=height of the pyramid

Given the dimensions in the problem and that the pyramid has a square base, we can first calculate the area of the base:

A = 7.4 x 7.4 = 54.76 in²

Multiply the area of the base x height of the pyramid:  (54.76 x 5) = 273.8

Divide by 3 (multiply by \frac{1}{3}): 273.8/3 ≈ 91.3 in³

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brainly.com/question/4074088

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