A right rectangular prism has a height of 15 in, and the area of the cross secti

Question

A right rectangular prism has a height of 15 in, and the area of the cross section taken parallel to the base at a level of 5 in above the base is 25 in2. A right triangular prism has a height of 15 in, and the area of the cross section taken parallel to the base at a level of 5 in above the base is 25 in2. Do the solids have the same volume?

a) yes, because they have the same height and the same cross-sectional area at every level parallel to the bases

b) Yes, because th solids are congruent

c) No, because the heights are not equal

d) No, because the cross sectional area at every level must be the same, not just one level

Explanation / Answer

Option A ) yes, because they have the same height and the same cross-sectional area at every level parallel to the bases. Volume =base area x height.

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