1. Holt CA Course 1 10-3Volume of Pyramids and Cones Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview

2. Holt CA Course 1 10-3Volume of Pyramids and Cones Warm Up 1. Find the volume of a rectangular prism that is 4 in. tall, 16 in. wide, and 48 in deep. 2. A cylinder has a height of 4.2 m and a diameter of 0.6 m. To the nearest tenth of a cubic meter, what is the volume of the cylinder? Use 3.14 for . 3. A triangular prism’s base is an equilateral triangle. The sides of the triangle are 4 ft, and the height of the prism is 8 ft. To the nearest cubic foot, what is the volume of the prism? 3072 in 3 1.2 m 3 55.4 ft 3

3. Holt CA Course 1 10-3Volume of Pyramids and Cones Extension of MG2.1 Use formulas routinely for finding the perimeter and area of basic two-dimensional figures and the surface area and volume of basic three- dimensional figures, including rectangles, parallelograms, trapezoids, squares, triangles, circles, prisms, and cylinders. California Standards

4. Holt CA Course 1 10-3Volume of Pyramids and Cones The height of a pyramid or cone is measured from the highest point to the base along a perpendicular line.

5. Holt CA Course 1 10-3Volume of Pyramids and Cones

6. Holt CA Course 1 10-3Volume of Pyramids and Cones Additional Example 1: Finding the Volume of Pyramids and Cones Find the volume of the figure. A. 1313 V = 14 6 V = 28 cm 3 V = Bh 1313 B = (4 7) = 14 cm 2 1212

7. Holt CA Course 1 10-3Volume of Pyramids and Cones Additional Example 1: Finding the Volume of Pyramids and Cones 1313 V = 9 10 V = 30  94.2 in 3 V = Bh 1313 B = (3 2 ) = 9 in 2 Use 3.14 for . Find the volume of the figure. Use 3.14 for . B.

8. Holt CA Course 1 10-3Volume of Pyramids and Cones Check It Out! Example 1 1313 V = 17.5 7 V  40.8 in 3 V = Bh 1313 B = (5 7) = 17.5 in 2 1212 5 in. 7 in. Find the volume of the figure. A.

9. Holt CA Course 1 10-3Volume of Pyramids and Cones 1313 V = 9 7 V = 21  65.9 m 3 V = Bh 1313 B = (3 2 ) = 9 m 2 Use 3.14 for . Check It Out! Example 1 7 m 3 m Find the volume of the figure. Use 3.14 for . B.

10. Holt CA Course 1 10-3Volume of Pyramids and Cones Additional Example 2: Social Studies Application The Pyramid of Kukulcán in Mexico is a square pyramid. Its height is 24 m and its base has 55 m sides. Find the volume of the pyramid. B = 55 2 The base is a square. Step 1: Find the area of the base. = 3025 m 2 Multiply.

11. Holt CA Course 1 10-3Volume of Pyramids and Cones Additional Example 2 Continued The Pyramid of Kukulcán in Mexico is a square pyramid. Its height is 24 m and its base has 55 m sides. Find the volume of the pyramid. 1313 V = (3025)(24) V = 24,200 m 3 The volume of the pyramid is 24,200 m 3. Step 2: Find the volume. 1313 V = Bh Write the formula. Substitute for B and h. Multiply.

12. Holt CA Course 1 10-3Volume of Pyramids and Cones Check It Out! Example 2 B = 48 2 The base is a square. Step 1: Find the area of the base. = 2304 m 2 Multiply. Find the volume of a pyramid with a height of 12 m and a base with 48 m sides.

13. Holt CA Course 1 10-3Volume of Pyramids and Cones Check It Out! Example 2 Continued 1313 V = (2304)(12) V ≈ 9216 m 3 The volume of the pyramid is 9,216 m 3. Step 2: Find the volume. 1313 V = Bh Write the formula. Substitute for B and h. Multiply. Find the volume of a pyramid with a height of 12 m and a base with 48 m sides.

14. Holt CA Course 1 10-3Volume of Pyramids and Cones Lesson Quiz: Part l Find the volume of each figure to the nearest tenth. Use 3.14 for . 78.5 in 3 6.3 m 3 1. the triangular pyramid 2. the cone

15. Holt CA Course 1 10-3Volume of Pyramids and Cones Lesson Quiz: Part ll Yes; the volume is one-third the product of the base area and the height. So if you triple the height, the product would be tripled. 3. Explain whether tripling the height of the triangular pyramid would triple the volume.