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What is the height of the figure shown below if the volume is 128 cubic meters? Explain your reasoning for the mathematical steps you make.

What is the height of the figure shown below if the volume is 128 cubic meters? Explain-example-1
User Jylee
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2 Answers

5 votes

Explanation:

v = 128 m³

l = 8 m

w = 8 m


V = (1)/(3) * l * w * h \\ 128 = (1)/(3) * 8 * 8 * h \\ 384 = 64 * h \\ h = 6 \: m

#CMIIW

User Shawn Cooke
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4 votes

Answer:

The answer is 6

Explanation:

The volume of a pyramid is: 1/3 * Base * Height.

Base:

The base is this pyramid is a square. To calculate its area it's side * side.
8 * 8 = 64.

64 is the base area. We take it and multiply it by the height and divide by 3 to get the Volume. In this case we don't have the height, but we do have the volume. So we can put a simple equation:
128 (volume) = 64(base area) * Height * 1/3.

Solve for Height:
Height = (128 * 3) / 64

Put this in the calculator and you will get 6.

User VxJasonxV
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