If a rectangular prism and a cylinder have the same height and volume, what is their cross sectional area parallel to the bases if the base of the rectangular prism has a length of 5 inches and a width of 2 inches?

10 square inches

Step-by-step explanation:

Rectangular prism volume = area of the base * height

Cylinder volume = area of the base * height

Given that the volumes are equal, then the areas are equal.

Area of the base of the rectangular prism = length * width = 5*2 = 10 square inches = Area of the base of the cylinder

Their cross sectional area parallel to the bases are congruent to the bases.

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