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Splash Screen

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

KC

Find the Volumes of Prisms Find the volume of the rectangular prism. Volume of a prism Simplify. Answer: The volume is 385 cubic inches. Example 1

Find the volume of the rectangular prism. A. 90 in3 B. 120 in3 C. 126 in3 D. 148 in3 A B C D Example 1

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

Find the volume of the triangular prism. A. 22 ft3 B. 30 ft3 C. 37 ft3 D. 45 ft3 A B C D Example 2

KC

Find the Volume of a Cylinder Find the volume of the cylinder. Round to the nearest tenth. Volume of a cylinder Replace r with 3 and h with 12. V ≈ 339.3 Simplify. Answer: The volume is about 339.3 cubic centimeters. Example 3

Find the volume of the cylinder. Round to the nearest tenth. A. 140.1 in3 B. 152.5 in3 C. 169.6 in3 D. 183.4 in3 A B C D Example 3

Find the Volume of a Composite Solid 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. Example 4

Find the Volume of a Composite Solid Rectangular Prism Cylinder ≈ Answer: The volume of the box is about 72 – 9.42 or 62.58 cubic centimeters. Example 4

HOBBIES A small wooden cube has been glued to a larger wooden block for a whittling project. What is the volume of the wood to be whittled? A. 98 in3 B. 104 in3 C. 112 in3 D. 115 in3 A B C D Example 4

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