Basic Mathematics for College Students

17. Which geometric concept (perimeter, circumference,
    area, or volume) should be applied when measuring
    each of the following?
    a. The distance around a checkerboard
    b. The size of a trunk of a car
    c. The amount of paper used for a postage stamp
    d. The amount of storage in a cedar chest
    e. The amount of beach available for sunbathing
    f. The distance the tip of a propeller travels


18. Complete the table.

GUIDED PRACTICE

Convert from one unit of measurement to another.

See Example 1.

25. How many cubic feet are in 1 cubic yard?


26. How many cubic decimeters are in 1 cubic meter?


27. How many cubic meters are in 1 cubic kilometer?


28. How many cubic inches are in 1 cubic yard?
    Find the volume of each figure.See Example 2.


29. 
    
    
    
    30. 
        
    
    
    
    

4 ft

2 ft

7 ft

9.9 Volume 807

Figure Volume formula

Cube

Rectangular solid

Prism

Cylinder

Pyramid

Cone

Sphere

19. Evaluate each expression. Leave pin the answer.

a. b.

20. a. Evaluate for and. Leave pin
    the answer.
    b. Approximate your answer to part a to the nearest
    tenth.

NOTATION

21. a. What does “in.^3 ” mean?

b. Write “one cubic centimeter” using symbols.

22. In the formula , what does represent?


23. In a drawing, what does the symbol indicate?


24. Redraw the figure below using dashed lines to show
    the hidden edges.



V^13 Bh B

(^13) pr (^2) h r 2 h 27

4

3

p(125)

1

3

p(25)6

10 mm 4 mm

8 mm

Find the volume of each figure.See Example 3.

33. 
    
    
    
    34. 
        
    
    
    
    


34. 
    
    
    
    36. 10 in. 24 in.
    
    
    
    

26 in.

0.5 ft

15 in.

9 in.

2 ft

12 in.

0.8 m

12 cm 5 cm

13 cm

0.2 m

3 cm 4 cm

5 cm

40 ft

40 ft

5 in. 40 ft

5 in.

5 in.