﻿ Unit Conversion Word Problems - Page 6 | Problems & Solutions

# 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.

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.

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.

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.

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.

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.

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.

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.

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.

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.