1. Warm Up

2. Volume of Prisms and Cylinders
12.4

3. Volume of a Prism

4. Formula
V = Bh
where B is the area
of the base and h is
the height

5. EXAMPLE 2
Find volumes of prisms and cylinders
Find the volume of the solid.
a. Right trapezoidal prism
SOLUTION
(3)(6 + 14)
a. The area of a base is 1 2
= 30cm2 and h
= 5 cm.
V = Bh = 30(5) = 150cm3

6. Volume of Cylinder

7. Formula of Cylinder V = Bh Where B is the area of
The base and h is the
Height of the cylinder
B = πr2

8. Find the volume of an oblique cylinder
EXAMPLE 4
Find the volume of an oblique cylinder
Find the volume of the oblique cylinder.
SOLUTION
Cavalieri’s Principle allows you to use Theorem 12.7 to find the volume of the oblique cylinder.
V = π r2h
Formula for volume of a cylinder
= π(42)(7)
Substitute known values.
= 112π
Simplify.

9. Find the volume of an oblique cylinder
EXAMPLE 4
Find the volume of an oblique cylinder ≈
Use a calculator.
The volume of the oblique cylinder is about cm3.
ANSWER

10. GUIDED PRACTICE
for Example 4 and 5
5. Find the volume of the solid shown below.
ANSWER
ft3

11. Homework Pg
5-25 odd, not 13, 21