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Dominik [7]
1 year ago
7

The base of the following pyramid is a square. If the volume of the pyramid is 400 feet³, what is the missing length? Round the

answer to the nearest hundredth. The S=11ft​
Mathematics
1 answer:
uranmaximum [27]1 year ago
4 0

The length of the missing side is 9.92 ft given that the base of the following pyramid is a square, base side length(s) is 11 ft and the volume of the square pyramid is 400 ft³. This can be obtained using the formula of finding the volume of the pyramid with base as square.

<h3>Calculate the length of the missing side:</h3>

The formula of finding the volume of the pyramid with base as square is,

⇒ V = s²h/3

where V is the volume of the square pyramid, s is the side length of the base and h is the height of the square pyramid.

Here in the question it is given that,

  • it is a pyramid with base as square
  • the side length of the base is 11 ft
  • volume of the square pyramid is 400 ft³

that is, s = 11 ft, V = 400 ft³

By using the formula of finding the volume of the pyramid with base as square we get,

V = s²h/3

400 = (11)²h/3

By rearranging the equation we get,

h = 400 × 3/11²

h = 9.92 ft

Hence the length of the missing side is 9.92 ft given that the base of the following pyramid is a square, base side length(s) is 11 ft and the volume of the square pyramid is 400 ft³.

Learn more about square pyramid here:

brainly.com/question/17615619

#SPJ1

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