Volume of Composite Solids

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Presentation transcript:

Volume of Composite Solids Lesson 22 Surface Area & Volume Volume of Composite Solids

Warm-Up Write the volume formula for each solid. Square prism Rectangular prism Triangular pyramid Cylinder Cone Pentagonal pyramid

Volume of Composite Solids Target: Calculate the volume of composite solids.

Vocabulary Composite solid: A solid made of two or more three- dimensional geometric figures.

Volume of Composite Solids Identify the different types of solids in the figure. Calculate the volume of each solid. Find the sum of the volumes.

Example 1 Find the volume of the composite solid. Use 3.14 for π. This composite figure is made of a cylinder and a cone. Write each formula. Substitute known values. Find the value of the power. Multiply. Find the sum of the volumes. V ≈ 50.24 + 12.56 = 62.8 The volume of the solid is about 62.8 ft3.

Example 2 Find the approximate remaining volume when a cylindrical hole is drilled out of the prism. Use 3.14 for . This prism is made of a prism and with a cylinder removed. Write the formulas needed. Substitute known values. Find the value of the power. Multiply. Find the difference of the volumes. V ≈ 512 – 100.48 ≈ 411.52 The remaining volume is about 411.52 cm3.

Exit Problem Find the volume of the composite solid. Use 3.14 for .

Communication Prompt Draw a diagram of your own composite solid then explain how to find the volume of it. Are there any shortcuts for finding the volume of composite solids?