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Lesson 5 MI/Vocab prism base height cylinder volume Find the volumes of prisms and cylinders. The volume of a solid is the number of cubic units contained.

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Presentation on theme: "Lesson 5 MI/Vocab prism base height cylinder volume Find the volumes of prisms and cylinders. The volume of a solid is the number of cubic units contained."— Presentation transcript:

1 Lesson 5 MI/Vocab prism base height cylinder volume Find the volumes of prisms and cylinders. The volume of a solid is the number of cubic units contained in its interior. Volume is measured in cubic units, such as cubic meters (m 3 ).

2 Lesson 5 MI/Vocab

3 Lesson 5 Ex1 Find the Volumes of Prisms Find the volume of the prism. Answer: The volume is 385 cubic inches. Volume of a prism Simplify.

4 A.A B.B C.C D.D Lesson 5 CYP1 If the volume of the rectangular prism to the right is 120 cubic inches, what is the height of the prism?

5 Lesson 5 Ex2 Find the Volumes of Prisms Find the volume of the prism. Answer:The volume is 270 cubic feet. Volume of a prism Simplify. The height of the prism is 4. The base is a triangle, so B =

6 Lesson 5 CYP2 1.A 2.B 3.C 4.D A.22 ft 3 B.30 ft 3 C.37 ft 3 D.45 ft 3 Find the volume of the prism.

7 Lesson 5 Key Concept 2

8 Lesson 5 Ex3 Find the Volume of a Cylinder Find the volume of the cylinder. Round to the nearest tenth. Answer:The volume is about 339.1 cubic centimeters. Volume of a cylinder Replace r with 3 and h with 12. Simplify.

9 1.A 2.B 3.C 4.D Lesson 5 CYP3 A.140.1 in 3 B.152.5 in 3 C.169.6 in 3 D.183.4 in 3 Find the volume of the cylinder. Round to the nearest tenth.

10 A.A B.B C.C D.D Lesson 5 CYP4 HOBBIES A wooden block in the shape of a triangular prism is glued to a different block in the shape of a rectangular prism. What is the volume of the new solid?

11 Lesson 5 Ex4 TOYS A wooden block has a single hole drilled entirely through it. What is the volume of the block? Round to the nearest hundredth. The block is a rectangular prism with a cylindrical hole. To find the volume of the block, subtract the volume of the cylinder from the volume of the prism. Find the Volume of a Composite Solid

12 Lesson 5 Ex4 Answer:The volume of the box is about 72 – 9.42 or 62.58 cubic centimeters. Find the Volume of a Composite Solid Rectangular PrismCylinder


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