Transparency 2 Click the mouse button or press the Space Bar to display the answers.

Transparency 2a

7-3 Volume of Prisms and Cylinders

Video Tutor Help Finding the volumes of prismsFinding the volumes of prisms (7-3) Finding the volumes of cylindersFinding the volumes of cylinders (7-3) Finding the Volume of a Rectangular Prism Finding the Volume of a Triangular Prism Finding the Volume of a Cylinder Khan Academy Find the volume of the solid

Video Tutor Help Naming a three-dimensional figure Drawing a net Finding surface areas of prisms using a net Finding surface areas of cylinders using a net Finding the volumes of prisms Finding the volumes of cylinders

Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 7-3 Practice 7-3 Guided Problem Solving 7-3

Vocabulary Practice Vocabulary 7A: Graphic Organizer Vocabulary 7B: Reading Comprehension Vocabulary 7C: Reading/Writing Math Symbols Vocabulary 7D: Visual Vocabulary Practice Vocabulary 7E: Vocabulary C Vocabulary 7F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards Geometry

Additional Lesson Examples Step-by-Step Examples Lesson 7-3

Lesson Readiness Lesson Quiz Problem of the Day Lesson 7-3

Example 2-1a Find the volume of the prism. Formula for volume of a prism The base is a rectangle, so Simplify. Answer:The volume is 3200 cubic centimeters. Volume of a Rectangular Prism

Example 5-1a Find the volume of the prism. Volume of a prism The base is a rectangle, so. Simplify. Answer: The volume is 385 cubic inches. (B = l * w) Find the Volume of a Rectangular Prism

Example 5-1b Find the volume of the prism. Answer:

Find the volume of the rectangular prism. LESSON 7-3 V = lwh Use the formula. = (12)(8)(10) Substitute. = 960 Multiply. The volume of the rectangular prism is 960 cm 3. Volumes of Prisms and Cylinders Additional Examples

Example 2-2a Find the volume of the triangular prism. Formula for volume of a prism The height of the prism is 3 in. B = area of base or. Volume of a Triangular Prism

Example 2-2b Simplify. Answer:The volume is 15 cubic inches.

Example 5-2a Find the volume of the prism. Volume of a prism Simplify. Answer: The volume is 270 cubic feet. The base is a triangle, so The height of the prism is 4. (B = ½ bh) Find the Volume of a Triangular Prism

Example 5-2b Find the volume of the prism. Answer:

Find the volume of the triangular prism. LESSON 7-3 V = Bh Use the formula. V = 120 Multiply. The volume of the triangular prism is 120 cm 2. Volumes of Prisms and Cylinders V = (4  10)  6 Substitute Additional Examples

Example 2-5a Find the volume of the cylinder. Round to the nearest tenth. Formula for volume of a cylinder Replace r with 7 and h with 14. Simplify. Answer:The volume is about cubic feet. Volume of a Cylinder

Example 2-5b Find the volume of the cylinder. Round to the nearest tenth. diameter of base 10 m, height 2 m Formula for volume of a cylinder Replace r with 5 and h with 2. Simplify. Answer:The volume is about cubic meters. Since the diameter is 10 m, the radius is 5 m. Volume of a Cylinder

Example 5-3a Find the volume of the cylinder. Round to the nearest tenth. Volume of a cylinder Replace r with 3 and h with 12. Simplify. Answer: The volume is about cubic centimeters. Find the Volumes of Cylinders

Example 5-3b Find the volume of the cylinder. Answer:

Example 5-4a Find the volume of the cylinder. Round to the nearest tenth. diameter of base, 18 yd; height, 25.4 yd Volume of a cylinder Simplify. Replace r with 9 and h with Answer: The volume is about 6,463.5 cubic yards. Since the diameter is 18 yards, the radius is 9 yards. Find the Volumes of Cylinders

Example 5-4b Find the volume of the cylinder. Round to the nearest tenth. diameter of base, 8 yd; height, 10 yd Answer:

Find the volume of the cylinder. Round to the nearest cubic centimeter. LESSON 7-3 The volume of the cylinder is about 113 cm 3. = ( )(2) 2 (9) Substitute Use a calculator.Use the formula. V = r 2 h Volumes of Prisms and Cylinders Additional Examples