Name _______________________________________ Date ___________________ Class __________________
Section 10.6 Reading Strategies
Use a Table
The tables below show formulas for finding the volume of different three-dimensional figures.
Cylinders
Diagram
Formula
Example
V = Bh
V = π(42)(3) cm3
where B is the area
of the base, so
Oblique and
right cylinders
= π(48) cm3
≈ 150.8 cm3
V = πr 2h
Prisms
Diagram
Cube
Rectangular
prism
Formula
Example
V = s3
V = 133 m3
= 2197 m3
V = (11)(5)(8) ft3
V = l wh
V = Bh
Other oblique
and right prisms
where B is the area
of the base
= 440 ft3
1
(6)(7) yd2 = 21 yd2
2
V = 21(8) yd3 = 168 yd3
B=
Answer the following. Round to the nearest tenth if necessary.
1. Find the volume of a cube with edge length 8 centimters.
__________________
2. Find the volume of a cylinder with height 15 inches and
radius 3 inches.
__________________
Find the volume of each figure. Round to the nearest tenth
if necessary.
3.
4.
________________________
5.
________________________
________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Practice B
Volume of Prisms and Cylinders
Find the volume of each prism. Round to the nearest tenth if necessary.
1.
2.
the oblique rectangular prism
the regular octagonal prism
________________________________________
3. a cube with edge length 0.75 m
________________________________________
_________________________________________
Find the volume of each cylinder. Give your answers both in terms of π and
rounded to the nearest tenth.
4.
5.
________________________________________
________________________________________
6. CDs have the dimensions shown in the figure. Each CD
is 1 mm thick. Find the volume in cubic centimeters of a
stack of 25 CDs. Round to the nearest tenth.
__________________________
Find the volume of the composite figure. Round to the nearest tenth.
7.
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Reading Strategies
Use a Table
The tables below show formulas for finding the volume of different three-dimensional figures.
Cylinders
Diagram
Formula
Example
V = Bh
V = π(42)(3) cm3
where B is the area
of the base, so
Oblique and
right cylinders
= π(48) cm3
≈ 150.8 cm3
V = πr 2h
Prisms
Diagram
Cube
Rectangular
prism
Formula
Example
V = s3
V = 133 m3
= 2197 m3
V = (11)(5)(8) ft3
V = l wh
V = Bh
Other oblique
and right prisms
where B is the area
of the base
= 440 ft3
1
(6)(7) yd2 = 21 yd2
2
V = 21(8) yd3 = 168 yd3
B=
Answer the following. Round to the nearest tenth if necessary.
1. Find the volume of a cube with edge length 8 centimters.
__________________
2. Find the volume of a cylinder with height 15 inches and
radius 3 inches.
__________________
Find the volume of each figure. Round to the nearest tenth
if necessary.
3.
4.
________________________
5.
________________________
________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
Practice B
Volume of Prisms and Cylinders
Find the volume of each prism. Round to the nearest tenth if necessary.
1.
2.
the oblique rectangular prism
the regular octagonal prism
________________________________________
3. a cube with edge length 0.75 m
________________________________________
_________________________________________
Find the volume of each cylinder. Give your answers both in terms of π and
rounded to the nearest tenth.
4.
5.
________________________________________
________________________________________
6. CDs have the dimensions shown in the figure. Each CD
is 1 mm thick. Find the volume in cubic centimeters of a
stack of 25 CDs. Round to the nearest tenth.
__________________________
Find the volume of the composite figure. Round to the nearest tenth.
7.
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry