Math 7 – Review Section 6-2

Name _______________________________________ Date __________________ Class __________________
Measurement and Geometry
Review for Mastery: Volume of Prisms and Cylinders
Volume  number of cubic units
inside a solid figure
To find the volume of this solid figure:
Count the number of cubic centimeters
in one “slice” of the figure.
4  3  12
Multiply by the number of “slices.”
12  6  72 cm3
Complete to find the volume of each solid figure.
1.
2.
number cm3 in a slice
number in3 in a slice
 ________________  ________
 ________  ________  ________
number of slices  ________
number of slices  ________
volume  ________ cm3
volume  ________ in
3
3.
number mm3 in a slice
 _______________  ________
number of slices  ________
volume  ________ mm3
Holt McDougal Mathematics
Name _______________________________________ Date __________________ Class __________________
Measurement and Geometry
Review for Mastery: Volume of Prisms and Cylinders (continued)
Prism: solid figure named for the shape
of its two congruent bases
Volume V of a prism  area of base B  height h
V  Bh
V  (6  4)5
V  24(5)
V  120 in3
Complete to find the volume of each prism.
4. rectangular prism
5. cube
6. triangular prism
base is a rectangle
base is a _____________
base is a _____________
V  Bh
V  Bh
V
1
Bh
2
V  (_____  _____)  _____
V  (_____  _____)  _____
V
1
(_____  _____)
2
 ________ cm3
 ________ mm3
 _____  _____ ft3
Cylinder: solid figure with a circular base
Volume V of a cylinder  area of base B  height h
V  Bh
V  (  42)7  (16)7
V  112
V  112(3.14)  351.7 units3
Complete to find the volume of the cylinder.
7.
V  Bh
V  (  _____)  _____
V  _____  _____ units
Holt McDougal Mathematics
Name _______________________________________ Date __________________ Class __________________
Review for Mastery
1. 4; 2; 8;
2;
16
2. 3  5; 15;
4;
60
3. 5  6; 30;
4;
120
4. 8; 6; 4;
192
5. square;
3; 3; 3;
27
7. 52; 3;
75; 235.5
6. right ;
3; 4;
6; 36
Holt McDougal Mathematics