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a square pyramid with a base area of 16 square feet and a cube with a side length of 4 feet have equal volumes. what is the height of the pyramid?

User Pva
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2 Answers

2 votes

The height of pyramid will be 48 feet

User Phonixor
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4 votes
Firstly, we need to understand the formula of the volume of a pyramid:


(1)/(3) * base \: area * height
The volume of the cube:

4 * 4 * 4 \: or \: {4}^(3) \\ = 64 {feet}^(3)
We can then set up a equation:

Let the height be x feet.
64 = 1/3 × 16 × y
y = 64 × 3 × 1/16
y = 12 feet

Therefore,the height of pyramid is 12 feet.

Hope it helps!
User Ogzylz
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