- ( perimeter of a rectangle);
,
14. ;,
15. ;,
16. ;,
- ( perimeter of a triangle);
, ,
- ;, ,
- (distance formula); ,
- ;,
- (simple interest); , ,
- ;, ,
- (area of a trapezoid);
, ,
- ;, ,
- (circumference of a circle); 26. ;
27. ; 28. ;
- (area of a circle); 30. ;
The volumeof a three-dimensional object is a measure of the space occupied by the object.
For example, we would need to know the volume of a gasoline tank in order to find how many
gallons of gasoline it would take to completely fill the tank.
In the following exercises, a formula for the volume (V) of a three-dimensional object is
given, along with values for the other variables. Evaluate V. (Use 3.14as an approximation
for .) p See Example 1.
S= 2 prh; S= 120 p, h= 10 S= 2 prh; S= 720 p, h= 30
a=pr^2 r= 4 a=pr^2 r= 12
C= 2 pr C= 20 p C= 2 pr C= 100 p
C=16.328
C= 2 pr C= 2 pr C=8.164
a= a= 75 b= 19 B= 31
1
2
h 1 b+B 2
a= 91 h= 7 b= 12
a=
1
2
h 1 b+B 2
I=prt p= 5000 r=0.025t= 7
I=prt p= 7500 r=0.035t= 6
d=rt d= 100 t=2.5
d=rt d= 252 r= 45
P=a+b+c P= 15 a= 3 b= 7
P= 12 a= 3 c= 5
P=a+b+c
a= b= 10 h= 14
1
2
bh
a= (area of a triangle) b= 8 h= 16
1
2
bh
P= 2 L+ 2 W L= 6 W= 4
L= 8 W= 5
P= 2 L+ 2 W
126 CHAPTER 2 Linear Equations and Inequalities in One Variable
L W h b b c
a
h
B
b
r
A formula is given along with the values of all but one of the variables. Find the value of the
variable that is not given. Use 3.14as an approximation for (pi). p See Example 1.
- (volume of a rectangular box);
, ,
34.V=LWH;, , L= 12 W= 8 H= 4
L= 10 W= 5 H= 3
V=LWH L
W
H
12.Determining the cost of planting rye
grass in a lawn for the winter
Concept Check Decide whether perimeter or area would be used to solve a problem con-
cerning the measure of the quantity.
5.Carpeting for a bedroom 6.Sod for a lawn
7.Fencing for a yard 8.Baseboards for a living room
9.Tile for a bathroom 10.Fertilizer for a garden
11.Determining the cost of replacing a
linoleum floor with a wood floor
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