Find the volume of each pyramid. Round to the nearest tenth.

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Presentation transcript:

Find the volume of each pyramid. Round to the nearest tenth. 1. 2. Find the height of each pyramid in Exercises 3 and 4. 3. rectangular pyramid: volume 224 cubic centimeters, base edge 6 centimeters, base length 8 centimeters 4. triangular pyramid: volume 162 cubic meters, base edge 9 meters, base height 12 meters 5. A rectangular pyramid at a miniature golf course has a height of 5 feet and base side lengths of 3 feet and 6 feet. Find the volume of the pyramid. Course 2, Lesson 8-6

ANSWERS 1. 4 yd³ 2. 196 in³ 3. h = 14 cm 4. h = 9m 5. 30 ft³ Course 2, Lesson 8-6

HOW do measurements help you describe real-world objects? Geometry HOW do measurements help you describe real-world objects? Course 2, Lesson 8-6

Mathematical Practices Geometry 7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. 6 Attend to precision. Course 2, Lesson 8-6 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

To find the surface area of a rectangular prism triangular prism Geometry To find the surface area of a rectangular prism triangular prism Course 2, Lesson 8-6

Geometry surface area Course 2, Lesson 8-6

Surface Area of a Rectangular Prism Geometry Surface Area of a Rectangular Prism Words The surface area S.A. of a Model rectangular prism with base , width w, and height h is the sum of the areas of its faces. Symbols S.A. = 2 h + 2 w + 2hw Course 2, Lesson 8-6

How did what you learned today help you answer the Geometry How did what you learned today help you answer the HOW do measurements help you describe real-world objects? Course 2, Lesson 8-6

How did what you learned today help you answer the Geometry How did what you learned today help you answer the HOW do measurements help you describe real-world objects? Sample answers: To find the amount of paper to wrap a gift box To find the amount of cardboard needed to make a box in the shape of a triangular prism Course 2, Lesson 8-6

Describe how to find the surface area of a prism. Geometry Functions Ratios and Proportional Relationships Describe how to find the surface area of a prism. Course 2, Lesson 8-6