A rectangular prism has a base area of 25in and a volume of 125in. If the rectangular Pyramid has a congruent base and height congruent to the prism what is the height of the Pyramid

1 answer

The dimensions of the rectangular prism are:

Length x Width x Height = Base Area x Height = 25in x Height

And its volume is:

Volume = Base Area x Height = 125in

Therefore, the height of the rectangular prism is 5in.

Since the rectangular pyramid has a congruent base and height to the prism, its base area is also 25in and its volume is:

Volume = (1/3) x Base Area x Height

Substituting the values we know:

125in = (1/3) x 25in x Height

Solving for Height:

Height = 15in

Therefore, the height of the rectangular pyramid is 15in.
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