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Unit Conversion Word Problems - Page 6

Unit Conversion Word Problems
  • Page 6
 51.  
The area of a garden is 50 square yards. Express the area of the garden in square feet.
a.
540 square feet
b.
400 square feet
c.
450 square feet
d.
350 square feet


Solution:

1 square yard = 9 square feet
[Express square yard in terms of square feet.]

50 square yards = 50 × 9 square feet = 450 square feet.

So, the area of the garden is 450 square feet.


Correct answer : (3)
 52.  
The area of a grazing field is 16 feet2. Find the area in inch2.
a.
2000 inch2
b.
1304 inch2
c.
2304 inch2
d.
2500 inch2


Solution:

1 feet2 = 144 inch2
[1 feet = 12 inches.]

16 feet2 = (16 × 144) inch2 = 2304 inch2

So, the area of the grazing field is 2304 inch2.


Correct answer : (3)
 53.  
Joe wants to construct a house in the area of 4,500 square feet. Find the area in square yards.
a.
450 square yards
b.
500 square yards
c.
600 square yards
d.
350 square yards


Solution:

1 square yard = 9 square feet
[Express square yard in terms of square feet.]

1 square feet = 1 / 9 square yards

4,500 square feet = 4,500 / 9 square yards = 500 square yards

So, area of the house is 500 square yards.


Correct answer : (2)
 54.  
How many square kilometers are there in 10,000 m × 10,000 m?
a.
200 square kilometers
b.
1,000 square kilometers
c.
100 square kilometers
d.
10 square kilometers


Solution:

1 square meter = 1 / 1,000,000 square kilometers.
[Express square meters into square kilometes.]

10,000 m × 10,000 m = 100,000,000 square meters

= 100,000,000 / 1,000,000 = 100 square kilometers

So, 10,000 m × 10,000 m = 100 square kilometers.


Correct answer : (3)
 55.  
The area of a lake is 10,000,000 square centimeters. Find the area in square meters.
a.
1,000 square meters
b.
10 square meters
c.
100 square meters
d.
10,000 square meters


Solution:

1 square centimeter = 1 / 10,000 square meters
[Express square centimeter in terms of square meters.]

10,000,000 square centimeters = 10,000,000 / 10,000 square meters = 1,000 square meters

So, area of the lake is 1,000 square meters.


Correct answer : (1)
 56.  
The volume of a square box is 245.7 cubic centimeters. How many cubic inches is this, if one cubic inch is 16.38 cubic centimeters?
a.
13.43
b.
98.34
c.
15.99
d.
15


Solution:

1 cubic inch = 16.38 cubic centimeters.

1 cubic centimeter = 116.38 cubic inches.

Volume of the square box = 245.7 cubic centimeters.

= 245.7 × 116.38 cubic inches.
[1 cubic centimeter = 116.38 cubic inches.]

= 15 cubic inches.

So, volume of the square box is 15 cubic inches.


Correct answer : (4)
 57.  
The volume of a triangular prism is 7 cubic inches. How many cubic centimeters is this, if one cubic inch is 16.38 cubic centimeters?
a.
114.66
b.
81.95
c.
112
d.
16.38


Solution:

1 cubic inch = 16.38 cubic centimeters.

Volume of the triangular prism = 7 cubic inches.

= 7 × 16.38 cubic centimeters.
[1 cubic inch = 16.38 cubic centimeters.]

= 114.66 cubic centimeters.

So, volume of the triangular prism is 114.66 cubic centimeters.


Correct answer : (1)
 58.  
The surface area of a cylinder is 63 square feet. How many square yards is this, if one square yard is 9 square feet?
a.
14
b.
7
c.
9
d.
18


Solution:

1 square yard = 9 square feet.

1 square foot = 19 square yards.

The surface area of a cylinder = 63 square feet.

= 63 × 19 square yards.
[1 square foot = 19 square yards.]

= 7 square yards.

So, the surface area of the cylinder is 7 square yards.


Correct answer : (2)
 59.  
The surface area of a rectangular prism is 7 square feet. How many square inches is this, if one square foot is 144 square inches?
a.
1008
b.
144
c.
288
d.
1000


Solution:

1 square foot = 144 square inches.

The surface area of the rectangular prism = 7 square feet.

= 7 × 144 square inches.
[1 square foot = 144 square inches.]

= 1008 square inches.

So, the surface area of the rectangular prism is 1008 square inches.


Correct answer : (1)
 60.  
10 feet = ____ inches.
a.
100
b.
12
c.
60
d.
120


Solution:

1 foot = 12 inches

10 feet = 10 × 12 inches

= 120 inches

So, 10 feet = 120 inches.


Correct answer : (4)

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