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 |

[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 feet^{2}. Find the area in inch^{2}.

a. | 2000 inch ^{2} | ||

b. | 1304 inch ^{2} | ||

c. | 2304 inch ^{2} | ||

d. | 2500 inch ^{2} |

[1 feet = 12 inches.]

16 feet

So, the area of the grazing field is 2304 inch

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 |

[Express square yard in terms of square feet.]

1 square feet =

4,500 square feet =

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 |

[Express square meters into square kilometes.]

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

=

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 |

[Express square centimeter in terms of square meters.]

10,000,000 square centimeters =

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 |

1 cubic centimeter =

Volume of the square box = 245.7 cubic centimeters.

= 245.7 ×

[1 cubic centimeter =

= 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 |

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 |

1 square foot =

The surface area of a cylinder = 63 square feet.

= 63 ×

[1 square foot =

= 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 |

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 |

10 feet = 10 × 12 inches

= 120 inches

So, 10 feet = 120 inches.

Correct answer : (4)