Question

1) on a test suzy has a diagram of a regular prism and pyramid. both have a height of 4 inches, both have square bases with the side lengths of 6 inches, and the pyramid has a slant height of 5 inches. which shape has the larger surface area? a) they have the same surface area. b) the prism does by 72 square inches. c) the pyramid does by 72 square inches. d) there is not enough information to determine the surface area.

Answer 1

The Prism has a larger surface area than the pyramid.

What is area?

Area is the amount of space occupied by a two dimensional shape or object.

Surface area of Prism = 2 * base area + 4(base length)(height)

Surface area of Prism = 2(6 * 6) + 4(6)(4) = 168 in²

Surface area of pyramid = (base area) + 2(base length)(slant height)

Surface area of pyramid = (6 * 6) + 2(6)(5) = 96 in²

The Prism has a larger surface area than the pyramid.

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