Prism A is a dilation of Prism B. The height of Prism A is 6 1/2 ft, and the volume of Prism A is 87 3/4 ft³. The height of Prism B is 3 1/4 ft.

What is the volume of Prism B?

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The volume of the dilated Prism B is about 10 31/32 ft³

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The height of Prism A is 6 1/2 ft, and The height of Prism B is 3 1/4 ft.

The dilation factor = 3 1/4 ft. ÷ 6 1/2 ft = 0.5

Volume is the product of three sides.

The volume of prism B = Volume of prism A * (dilation factor)³ = 87 3/4 ft³ * (0.5)³ = 10 31/32 ft³

The volume of the dilated Prism B is about 10 31/32 ft³

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