Practice Problems
Complete the following problems on a separate sheet of paper. Include units of
measure (inches, feet, minutes, dollars, etc.).
1. Find the volume of the box shown in Fig. 9-25A.
2. How many cubic feet of compressed sawdust can be packed into a 36” tall card-
board box with an 18” × 24” bottom (and top)?
3. Find the volume of the cylinder shown in Fig. 9-25B.
4. Find the volume of the triangular prism shown in Fig. 9-25C.
5. Calculate the volume of air contained in the attic of a house to assist in planning
for air conditioning. The attic is shaped like a triangular prism—6’ high, 32’
wide, and 52’ long.
6. Calculate the volume of air contained in the room shown in Fig. 9-25D.
7. Calculate the volume that would be displaced if the sphere shown in Fig. 9-25E
were submersed in water.
8. Calculate the cubic yards of gravel needed to fill a rectangular-shaped hole that
is 3’ deep, 9’ wide, and 24’ long.
9. Calculate the cubic yards of concrete needed to create the sidewalk shown in
Fig. 9-25F.
10. How many ounces of liquid can be contained in a glass jar that is 5” tall and
3” in diameter (1 gallon = 231 cubic inches)
TEST YOUR SKILLS
Do not write in this book. Use a separate sheet of paper to complete the following
problems. Show your work and your final answer. In so doing, write the formula
used and substitute the values into the formula. Include any other steps necessary
to complete the problem. Include units of measure (for example, inches, feet, etc.).
Round decimal fractions to 2 decimal places.
PERIMETER
1. Find the perimeter of a rectangle with sides measuring 30 feet and 60 feet.
2. Find the perimeter of the figure shown in Fig. 9-26.
Perimeter, Area, and Volume 183
Fig. 9-25. Find the volume of these objects for the practice problems.
sphere
R
7″
R
2″
4″
4″
4″
4″
10″
8″
8′
12
″
8′
24″
10 cm 20 cm
E
D
B
A
C
sidewalk
concrete
is 3″ deep
F
8 cm