Question

Miranda is a product design engineer working for a sporting goods company. She designs a test in the shape of a triangular prism. The approximate dimensions of the tent are shown in the diagram. How many square feet of material does Miranda need to make the test (including the floor)? What is the volume of the tent? Show your work.

Answer 1

The amount of material needed by Miranda is 261.75 ft² and the volume of the tent is 228 ft³

Volume

The volume of a figure is the amount of space occupied by a three dimensional shape.

The volume of the triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²

Surface area of prism = 2(24) + 2(9.5 * 7.25) + (9.5 * 8) = 261.75 ft²

The volume of tent = area of triangle * height = 24 ft² * 9.5 ft = 228 ft³

The amount of material needed by Miranda is 261.75 ft² and the volume of the tent is 228 ft³

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