The square prism has a base length of 2 ft. Which describes the cross-section of the prism that is perpendicular to the base?
a rectangle with two 12-ft sides and two 2-ft sides
a rectangle with two 12-ft sides and two sides that are shorter than 2 ft
a non-rectangular parallelogram with two 12-ft sides and two 2-ft sides
a non-rectangular parallelogram with two 12-ft sides and two sides that are longer than 2 ft
Answers
The option that describes the cross-section of the prism that is perpendicular to the base is A. a rectangle with two 12-ft sides and two 2-ft sides.
How to explain the rectangleA square prism has a square base. When we cut a prism perpendicular to the base, we get a cross-section that is a rectangle with the same dimensions as the base. In this case, the base of the prism is a square with a side length of 2 ft, so the cross-section will be a rectangle with two 12-ft sides and two 2-ft sides.
The other answer choices are incorrect. A rectangle with two 12-ft sides and two sides that are shorter than 2 ft is not possible. A non-rectangular parallelogram with two 12-ft sides and two 2-ft sides is not a cross-section of a square prism. A non-rectangular parallelogram with two 12-ft sides and two sides that are longer than 2 ft is not a cross-section of a square prism, because the sides of a square prism are all the same length.
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