2. Date: 12.5(a) Notes: Volume of Pyramids and Cones Lesson Objective: Find the volume of pyramids and cones. CCSS: G.GMD.1, 3 You will need: ruler, colored pens Real-World App: How many BTUs does she need? This is Jeopardy!!!: This is the volume and inside surface area of a baking pan.

3. Lesson 1: Volume of a Pyramid Construct a cube with sides 3”. In red, construct a square pyramid within the cube.

4. Lesson 1: Volume of a Pyramid Connect the bottom vertices in red.

5. Lesson 1: Volume of a Pyramid Start at the top left back vertex and con­ nect it to each of the bottom vertices.

6. Lesson 1: Volume of a Pyramid Start at the top left back vertex and con­ nect it to each of the bottom vertices.

7. Lesson 1: Volume of a Pyramid Start at the top left back vertex and con­ nect it to each of the bottom vertices.

8. Lesson 1: Volume of a Pyramid Start at the top left back vertex and con­ nect it to each of the bottom vertices.

9. Lesson 1: Volume of a Pyramid Connect the bottom vertices in red.

10. Lesson 1: Volume of a Pyramid Volume of Pyramid: V = ⅓Bh, where B = base area and h = height; the volume of a pyramid is ⅓ the volume of a rectangular prism

11. Lesson 1: Volume of a Pyramid Find the volume. A.A regular hexagonal pyramid with side length 12 ft and height equal to the apothem of the base.

12. Lesson 1: Volume of a Pyramid B.At the top of the Washington Monument is a small square pyra- mid called a pyramidion. This pyramid has a height of 55.5’ with a base edge of 34.5’. What is the volume of the pyramidion?

13. Lesson 2: Using Volume

14. 12.5(a): Do I Get It? Yes or No Find the volume. 1. 2. 3.A pyramidion that was discovered in Saqqara, Egypt, in 1992 has a rectangular base 53 cm by 37 cm. It is 46 cm high. What is the volume of the pyramidion?