Solving Volume Problems Warm Up Complete the table

Solving Volume Problems

Warm Up

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

• 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.

Compare the volumes and surface areas of the figures below.

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.

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

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

Find the volume of the composite figure.

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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