1. Volume of Prisms and Cylinders
11-2
Volume of Prisms and Cylinders
Warm Up
Lesson Presentation
Lesson Quiz
Holt McDougal Geometry
Holt Geometry

2. Warm Up
Find the area of each figure. Round to the nearest tenth.
1. an equilateral triangle with edge length 20 cm
2. a regular hexagon with edge length 14 m
3. a circle with radius 6.8 in.
4. a circle with diameter 14 ft
173.2 cm2
509.2 m2
145.3 in2
153.9 ft2

3. Objectives
Learn and apply the formula for the volume & surface area of a prism.
Learn and apply the formula for the volume & surface area of a cylinder.

4. Vocabulary
Volume Surface Area

5. What is a Prism?
A prism is a three dimensional object with two parallel congruent bases and rectangular faces (sides).

6. What is a Cylinder?
A cylinder is a three dimensional object with two parallel congruent circular bases and one face.

7. Surface Area with base area B, height h, and base perimeter P is SA = Ph+2B

8. Example 1A: Finding Volumes of Prisms
Find the volume & surface area of the prism. Round to the nearest tenth, if necessary.
V = Bh
Volume of a right rectangular prism
= (13)(3)(5)
= 195 cm3
Substitute (13)(3) for B, and 5 for h.

9. Example 1B: Finding Volumes of Prisms
Find the volume & surface area of a cube with edge length 15 in. Round to the nearest tenth, if necessary.
V = Bh
Volume of a cube
= (15)(15)(15)
= 3375 in3
Substitute (15)(15) for B, 15 for h.

10. Example 1C: Finding Volumes of Prisms
Find the volume & surface area of the right regular hexagonal prism. Round to the nearest tenth, if necessary.

11. Check It Out! Example 1
Find the volume & surface area of a triangular prism with a height of 9 yd whose base is a right triangle with legs 7 yd and 5 yd long.
Volume of a triangular prism

12. Surface Area with base area B, height h, and base perimeter P is SA = Ph+2B

13. Example:
Find the volume & surface area of the cylinder.

14. Classwork/Homework
11.2 #’s: 1-4, 6-8, 13-15, 17, 18