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Zepler [3.9K]
3 years ago
8

Find the volume of a pyramid with a square base, where the perimeter of the base is 18.1 ft and the height of the pyramid is 28.

1 ft. Round your answer to the nearest tenth of a cubic foot.
Mathematics
2 answers:
Ann [662]3 years ago
4 0

Step-by-step explanation:

the volume of a pyramid is

base area × height / 3

the base area here is a square.

we know its perimeter : 18.1 ft, which is 4 times the side length.

so, one side of the square is :

18.1/4 = 4.525 ft

the area of the square is side² = 4.525² = 20.475625 ft²

we also know the height of the pyramid, so the volume is :

Vp = 20.475625 × 28.1 / 3 = 191.7883542 ft³

the rounded volume of the pyramid is 191.8 ft³

fomenos3 years ago
3 0

Answer:

191.8

Step-by-step explanation:

Hope this helps!

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The cost of 3 notebooks and 4 pencils is $8.50. Determine the cost of one notebook and one pencil
Assoli18 [71]
Call the notebooks x, and the pencils y. 
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<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>

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<span>15x + 20y = 42.5 </span>
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<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>

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<span>15x + 5 + 42.5 </span>
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6 0
3 years ago
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7 0
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Read 2 more answers
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