A soy milk company is planning a promotion in which the volume of soy milk will be increased by 25%. The company wants the base of the container to.

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Presentation transcript:

A soy milk company is planning a promotion in which the volume of soy milk will be increased by 25%. The company wants the base of the container to stay the same. What will be the height of the new container? Problem of the Day

Section 12-5 Volumes of Pyramids and Cones

Then Now Objectives You found the surface areas of pyramids and cones. Find volumes of pyramids. Find volumes of cones.

Common Core State Standards Content Standards G.GMD.1 – Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. G.GMD.3 – Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. Mathematical Practices 1) Make sense of problems and persevere in solving them. 7) Look for and make use of structure. Common Core State Standards

Find the volume of each pyramid. Example 1

Find the volume of the pyramid. Example 1

Find the volume of each cone. Example 2

Find the volume of the cone. Example 2

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 this pyramidion? Round your answer to the nearest tenth. Example 3

At the top of a stone tower is a pyramidion in the shape of a square pyramid. This pyramid has a height of 52.5 cm and the base edges are 36 cm. What is the volume of the pyramidion? Round your answer to the nearest tenth. Example 3

p.876 #3 – 6, 10, 17, 37, 45, 47 Homework