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Explain how you would find the volume of the octagonal prism.

Explain how you would find the volume of the octagonal prism.-example-1

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Volume = Area of the Base * Height

Determine the length of one side of the regular octagon base.

Calculate the area of the base. The formula for the area of a regular octagon is (2 + 2√2) * s^2, where s is the length of one side.

Measure the height of the prism.

Multiply the area of the base by the height to calculate the volume.

For example, let's say the length of one side of the regular octagon base is 5 units and the height of the prism is 8 units. Using the formula, the volume would be:

Area of the Base = (2 + 2√2) * s^2 = (2 + 2√2) * 5^2 = 100(2 + 2√2)

Volume = Area of the Base * Height = 100(2 + 2√2) * 8 = 800(2 + 2√2)

So, the volume of the octagonal prism in this example would be 800(2 + 2√2) cubic units.

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