1. Volume of Prisms and Cylinders

2. Lesson Objective
Students will use the formula for the volume of a prism and cylinder to solve problems.

3. Lesson Beginning
Based on the exploratory activity, tell me three things that you learned about volume of cylinders.

4. Volume (V) is a measure of the amount of space that it occupies.

5. Volume of Prisms
Volume of a prism is the product of the area of the base and the height of the prism. V = Bh

6. Volume of Cylinder
Volume of a cylinder is the product of the area of the base and the height of the cylinder. V = Bh

7. Modeling
Find the volume.

8. Modeling
Find the volume.

9. Practice
Find the volume.

10. Practice
Find the height of the cylinder. Round your answer to the nearest whole number.

11. Practice
A movie theater designs two bags to hold 96 cubic inches of popcorn.
(a) Find the height of each bag.
(b) Which bag should the theater choose to reduce the amount of paper needed? Explain.

12. Practice
How much salsa is missing from the jar?

13. Practice
A cylindrical water tower has a diameter of 15 meters and a height of 5 meters. About how many gallons of water can the tower contain? (1 𝑚 3 ≈ 264 gal)

14. As time allows
25) Which has a greater effect on the volume of a cylinder: doubling the height or doubling the radius? Which has a greater effect on the volume of rectangular prism that is longer than it is wide: doubling the length or doubling the width? Explain?

15. As time allows
36) Two prisms have different surface areas. Can they have the same volume? Explain.