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Shalnov [3]
3 years ago
15

Find the height of a square pyramid that has a volume of 84 cubic feet and a base length of 6 feet v=1/3b(2)h

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

<h3>The height of the pyramid is 7 feet</h3>

Step-by-step explanation:

Let h represent the height of the pyramid

Volume of a pyramid is given by

V =  \frac{1}{3}  \times area \: of \: base \:  \times height

Volume of pyramid = 84ft³

To find the height of the pyramid we must first find the area of the base

Since it's a square pyramid it's base is a square

Area of a square = l²

where l is the length of one side

l = 6feet

Area = 6² = 36ft²

So we have

84 =  \frac{1}{3}  \times 36 \times h

84 = 12h

Divide both sides by 12

<h3>h = 7 feet</h3>

The height of the pyramid is 7 feet

Hope this helps you

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Step-by-step explanation:

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