Main Idea and New Vocabulary Key Concept: Volume of a Prism

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Find the volumes of prisms and cylinders.

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Presentation transcript:

Main Idea and New Vocabulary Key Concept: Volume of a Prism Example 1: Find the Volume of Prisms Example 2: Find the Volume of Prisms Key Concept: Volume of a Cylinder Example 3: Find the Volume of a Cylinder Example 4: Real-World Example: Find the Volume of a Composite Solid Lesson Menu

Find the volumes of prisms and cylinders. composite solid Main Idea/Vocabulary

Key Concept

Find the Volume of Prisms Find the volume of the rectangular prism. V = Bh Volume of a prism V = (b ● w)h The base is a rectangle, so B = b ● w. V = (5 ● 7)11 b = 5, w = 7, h = 11 V = 385 Simplify. Answer: The volume is 385 cubic inches. Example 1

Find the volume of the rectangular prism. A. 26 mm3 B. 70 mm3 C. 133 mm3 D. 490 mm3 Example 1 CYP

Find the Volume of Prisms Find the volume of the triangular prism. V = Bh Volume of a prism The base is a triangle, so B = ● 15 ● 9. The height of the prism is 4. V = 270 Simplify. Answer: The volume is 270 cubic feet. Example 2

Find the volume of the triangular prism. A. 160 cm3 B. 208 cm3 C. 240 cm3 D. 480 cm3 Example 2 CYP

Key Concept 4

Find the Volume of a Cylinder Find the volume of the cylinder. Round to the nearest tenth. V = r2h Volume of a cylinder V =  • 32 • 12 Replace r with 3 and h with 12. V  339.3 cm3 Simplify. Use a calculator. Answer: The volume is about 339.3 cubic centimeters. Example 3

Find the volume of the cylinder. Round to the nearest tenth. A. 78.5 in3 B. 219.9 in3 C. 549.8 in3 D. 2,199.1 in3 Example 3 CYP

Find the Volume of a Composite Solid TOYS A toy box contains a wooden block with a circular hole through its middle. Find the volume of the block. The block is made of one rectangular prism and one cylinder. Find the volume of each solid. Then subtract to find the volume of the block. Example 4

Find the Volume of a Composite Solid Rectangular Prism V = Bh V = (6 • 3)4 or 72 Cylinder V = ( • 12)3 or about 9.4 Answer: The volume of the block is about 72 – 9.4 or 62.6 cubic centimeters. Example 4

PEGS A peg has a circular hole through its middle PEGS A peg has a circular hole through its middle. Find the volume of the peg. A. 113.1 cm3 B. 301.6 cm3 C. 804.2 cm3 D. 904.8 cm3 Example 4 CYP