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Published byMeryl Bailey Modified over 5 years ago

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Solving Volume Problems

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Warm Up

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Complete the table. PrismBase Area of Base Triangular Prism Rectangular Prism Trapezoidal Prism

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The formula V = Bh is a general formula for finding the volume of a prism. The B in the volume formula represents the area of the base of the prism. The formula used for finding B depends on the shape of the base of the prism. The value of h in the volume formula is the height of the prism. To find the volume of a composite figure, find the sum of the volumes of the prisms that comprise the composite figure.

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Compare the volumes and surface areas of the figures below.

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How do you determine which edge is the height of the prism? First find the bases of the prism. The height is any edge perpendicular to the bases.

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A shipping carton is in the shape of a triangular prism. How many cubic inches of space are in the carton?

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A box is in the shape of a trapezoidal prism. How many cubic centimeters of space are in the box?

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Find the volume of the composite figure.

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A movie theater offers popcorn in two different containers for the same price. One container is a trapezoidal prism with a base area of 36 square inches and a height of 5 inches. The other container is a triangular prism with a base area of 32 square inches and a height of 6 inches. Which container is the better deal? Explain.

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