Question

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.

Answer 1

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`

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Answer 2

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.