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9-2 Volume of Prisms and Cylinders

Video Tutor Help Volume of a solid Finding the volumes of prismsFinding the volumes of prisms (9-2) Finding the volumes of cylindersFinding the volumes of cylinders (9-2) Volume of Prisms Volume of a Cylinder Khan Academy

Video Tutor Help Naming a three-dimensional figure Finding the volumes of prisms Finding the volumes of cylinders Finding the volume of cones Finding the volume of pyramids Finding surface areas of spheres using a formula Finding the volumes of spheres Finding the surface area and volume of similar solid

Worksheets Daily Notetaking Guide Worksheets Version A Practice, Guided Problem Solving Lesson 9-2 Practice 9-2 Guided Problem Solving 9-2

Vocabulary Practice Vocabulary 9A: Graphic Organizer Vocabulary 9B: Reading Comprehension Vocabulary 9C: Reading/Writing Math Symbols Vocabulary 9D: Visual Vocabulary Practice Vocabulary 9E: Vocabulary C Vocabulary 9F: Vocabulary Review Puzzle Vocabulary (Electronic) Flash Cards

Additional Lesson Examples Step-by-Step Examples Lesson 9-2

Lesson Readiness Lesson Quiz Problem of the Day Lesson 9-2

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 5-2a 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 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 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

Find the volume of this prism. Volumes of Prisms and Cylinders LESSON 9-2 Step 1 Find the area of the base. The area of the base is 3.5 cm 2. B = bhUse the triangle area formula = 3.5Multiply. Substitute 3.5 for b. For h, substitute 2, the height of the triangle = Additional Examples

(continued) Volumes of Prisms and Cylinders LESSON 9-2 Step 2 Use the base area to find the volume. The volume of the prism is 14 cm 3. = Substitute 3.5 for B. For h, substitute 4, the height of the prism. V = BhUse the prism volume formula. = 14Multiply. Additional Examples

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 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

Find the volume of the cylinder to the nearest cubic unit. Volumes of Prisms and Cylinders LESSON 9-2 Step 1 Find the area of the base. area of a circle B = r 2 Substitute.= (20 2 ) Estimate Use 3 for π. The area of the base is about 3 x 20² m², or 1200 m². The volume is about 1200 x 12 m³, or 14,400 m³. Simplify. = 400 Additional Examples

Volumes of Prisms and Cylinders LESSON 9-2 Step 2Use the base area to find the volume. volume of a cylinder V = Bh The volume of the cylinder is about 15,080 m³. (continued) Use a calculator. Substitute 400 π for B and 12 for h. = Simplify.= 4800 Additional Examples

Example 5-5a 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 Complex Solid

Example 5-5b Rectangular Prism Cylinder or 72 Answer: The volume of the box is about cubic centimeters.