Learn to find the volume of prisms and cylinders.

1
Learn to find the volume of prisms and cylinders.
2
A cylinder is a three-dimensional figure that has
two congruent circular bases. A prism is a
three-dimensional figure named for the shape of
its bases. The two bases are congruent polygons.
All of the other faces are parallelograms.
3
Rectangular prism
Cylinder
Triangular prism
Height
Height
Height
Base
Base
Base
4
VOLUME OF PRISMS AND CYLINDERS
Words Numbers Formula
Prism The volume V of a prism is the area of the base B times the height h.
Cylinder The volume of a cylinder is the area of the base B times the height h.
B 2(5)
10 units2
V Bh
V 10(3)
30 units3
B ? (22)
V Bh
4? units2
(?r2)h
V (4?)(6) 24?
? 75.4 units3
5
(No Transcript)
6
Additional Example 1A Finding the Volume of
Prisms and Cylinders
Find the volume of each figure to the nearest
tenth. Use 3.14 for ?.
a rectangular prism with base 2 cm by 5 cm and
height 3 cm
B 2 5 10 cm2
Area of base
Volume of a prism
V Bh
10 3
30 cm3
7
Additional Example 1B Finding the Volume of
Prisms and Cylinders
Find the volume of the figure to the nearest
tenth. Use 3.14 for ?.
B ? (42) 16? in2
Area of base
4 in.
Volume of a cylinder
V Bh
12 in.
16? 12
192? ? 602.9 in3
8
Additional Example 1C Finding the Volume of
Prisms and Cylinders
Find the volume of the figure to the nearest
tenth. Use 3.14 for ?.
Area of base
5 ft
V Bh
Volume of a prism
15 7
105 ft3
7 ft
6 ft
9
Learn to find the volume of pyramids and cones.
10
Insert Lesson Title Here
A pyramid is a three-dimensional figure whose
base is a polygon, and all of the other faces are
triangles. It is named for the shape of its base.
A cone has a circular base. The height of a
pyramid or cone is measured from the highest
point to the base along a perpendicular line.
11
(No Transcript)
12
Additional Example 1A Finding the Volume of
Pyramids and Cones
Find the volume of the figure. Use 3.14 for p.
V 28 cm3
13
Additional Example 1B Finding the Volume of
Pyramids and Cones
Find the volume of the figure. Use 3.14 for p.
B ?(32) 9? in2
V 30? ? 94.2 in3
Use 3.14 for ?.
14
Lesson Quiz
Find the volume of each pyramid or cone to the
nearest tenth. Use 3.14 for ?. Estimate to check
whether the answer is reasonable.
1. 2.
80 ft3
301.4 yd3
3.
252 ft3