Warm-Up
Exercises
Bell Work
Find the area of each polygon or circle.
1. Trapezoid, bases 12 ft and 18 ft, height 3 ft
2. Circle, diameter 8.2 in.
3. Regular hexagon, side length 14 cm
Warm-Up
Exercises
Notes
Definitions
A ____________ of a solid is the number of cubic units
contained in its interior.
Warm-Up
Exercises
Notes
Postulates
Volume of a Cube Postulate
The volume of a cube is the cube of _____________________.
Volume Congruence Postulate
If two polyhedra are congruent, then they have
___________________.
Volume Addition Postulate
The volume of a solid is the _______ of the volumes of all its
nonoverlapping parts.
Warm-Up1Exercises
EXAMPLE
Find the volume of the puzzle piece in cubic units.
Warm-Up
Exercises
Notes
Theorems
Volume of a Prism
V = Bh
Where B is the ______________ and h is the _____________.
Volume of a Cylinder
V = Bh = πr2h
Where B is the ______________ and h is the _____________
and r is the _____________ of the base.
Warm-Up2Exercises
EXAMPLE
Find the volume of the solid.
a. Right trapezoidal prism
Warm-Up2Exercises
EXAMPLE
b. Right cylinder
Warm-Up3Exercises
EXAMPLE
The volume of the cube is
90 cubic inches. Find the value of x.
Warm-Up
Exercises
GUIDED
PRACTICE
1. Find the volume of the puzzle
piece shown in cubic units.
Warm-Up
Exercises
GUIDED
PRACTICE
2. Find the volume of a square prism that has a base
edge length of 5 feet and a height of 12 feet.
3. The volume of a right cylinder is 684π cubic
inches and the height is 18 inches. Find the radius.
Warm-Up5Exercises
EXAMPLE
PLANTER
The planter is made up of 13 beams.
In centimeters, suppose the
dimensions of each beam are 30 by 30
by 90. Find its volume.
Warm-Up
Exercises
GUIDED
PRACTICE
5. Find the volume of the solid shown below.
Warm-Up
Exercises
Daily
Homework
Quick
CheckQuiz
1.
Find the volume of the solid at the right.
2.
Find the volume of a right triangular prism with
height 32 in., base height 12 in., and base length
18 in.
Warm-Up
Exercises
Daily
Homework
Quick
CheckQuiz
3.
Find the volume of a right cylinder with height
30 ft and diameter 14 ft.
4.
A cylindrical beaker with diameter 10 in. and
height 12 in. is filled with water that is then
poured into a rectangular pan that is 14 in. by
9 in. by 3 in. What is the volume of each solid?
Would the water overflow the pan? If so, what
is the height of the water in the beaker after
the pan is filled?
Warm-Up
Exercises
For Tomorrow
Homework
HW: 11.6 (pg. 755-756) #6,8,10,16,18,22,29