10-8 Finding Volume Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up Find the surface area of each figure. Use 3.14 for . Course Finding Volume 432 in ft 2 1. rectangular prism with base length 8 in., width 6 in., and height 12 in. 2. cylinder with diameter 8 ft and height 5 ft

Problem of the Day A rectangular park is bordered by a 3- foot-wide sidewalk. The park, including the sidewalk, measures 125 ft by 180 ft. What is the area of the park, not including the sidewalk? 20,706 ft 2 Course Finding Volume

Learn to estimate and find the volumes of rectangular prisms and triangular prisms. Course Finding Volume

Vocabulary volume Insert Lesson Title Here Course Finding Volume

Volume is the number of cubic units needed to fill a space. Course Finding Volume

It takes 10, or 5 · 2, centimeter cubes to cover the bottom layer of this rectangular prism. There are 3 layers of 10 cubes each. It takes 30, or 5 · 2 · 3, cubes to fill the prism. The volume of the prism is 5 cm · 2 cm · 3 cm = 30 cm 3. Course Finding Volume

The volume of a rectangular prism is the area of its base times its height. This formula can be used to find the volume of any prism. VOLUME OF A PRISM The volume V of a prism is the area of its base B times its height h. V = Bh

Additional Example 1: Finding the Volume of a Rectangular Prism Find the volume of the rectangular prism. V = Bh Write the formula. V = l = 26; w = 11; h = 13 Multiply.V = 3,718 in 3 13 in. 26 in. 11 in. Course Finding Volume

Additional Example 1: Finding the Volume of a Rectangular Prism Find the volume of the rectangular prism. V = Bh Write the formula. V = l = 26; w = 11; h = 13 Multiply.V = 3,718 in 3 13 in. 26 in. 11 in. Course Finding Volume

Additional Example 1: Finding the Volume of a Rectangular Prism Find the volume of the rectangular prism. V = Bh Write the formula. V = l = 26; w = 11; h = 13 Multiply.V = 3,718 in 3 13 in. 26 in. 11 in. Course Finding Volume

Try This: Example 1 Find the volume of the rectangular prism. V = Bh Write the formula. V = l = 29; w = 12; h = 16 Multiply.V = 5,568 in 3 16 in. 29 in. 12 in. Course Finding Volume

To find the volume of any prism, you can use the formula V= Bh, where B is the area of the base, and h is the prism’s height. So, to find the volume of a triangular prism, B is the area of the triangular base and h is the height of the prism. Course Finding Volume

Additional Example 2A: Finding the Volume of a Triangular Prism Find the volume of each triangular prism. A. V = BhWrite the formula. V = ( ) __ B = ; h = __ Multiply.V = m 3 Course Finding Volume

Additional Example 2B: Finding the Volume of a Triangular Prism Find the volume of the triangular prism. B. V = BhWrite the formula. V = ( 6.5 7) __ B = 6.5 7; h = __ Multiply.V = ft 3 Course Finding Volume

Try This: Example 2A Find the volume of each triangular prism. A. V = BhWrite the formula. V = ( ) __ B = ; h = __ Multiply.V = m m 7 m 4.2 m Course Finding Volume

Try This: Example 2B Find the volume of each triangular prism. B. V = BhWrite the formula. V = ( 4.5 9) __ B = 4.5 9; h = __ Multiply. V = ft ft 5 ft 9 ft Course Finding Volume

Lesson Quiz Find the volume of each figure. 1. rectangular prism with length 20 cm, width 15 cm, and height 12 cm 2. triangular prism with a height of 12 cm and a triangular base with base length 7.3 cm and height 3.5 cm 3. Find the volume of the figure shown. Insert Lesson Title Here 3,600 cm cm cm 3 Course Finding Volume