Main Idea

Example 1: Convert Area Measurements

Example 2: Convert Area Measurements

Example 3: Convert Volume Measurements

Key Concept: Measurement Conversions

Example 4: Convert Measurements

Key Concept: Length, Mass, and Capacity

Example 5: Convert Volume to Capacity

• Convert units of measure between dimensions including area and volume.

Convert Area Measurements

Convert one square foot to square inches.

A square foot is a square with a side length of one foot. You know that one foot is equal to 12 inches. So, one square foot is a square with a side length of 12 inches.

A = s 2 Write the formula.

A = 122 Replace s with 12.

A = 144 Simplify.

1 ft.

1 ft.

Answer: So, one square foot is equal to 144 square inches.

A. 1 ft2

B. 9 ft2

C. 27 ft2

D. 81 ft2

Convert three square yards to square feet.

Convert one square kilometer to square meters.

Convert Area Measurements

A square kilometer is a square with a side length of one kilometer. You know that 1 kilometer is equal to 1,000 meters. So, one square kilometer is a square with side length 1,000 meters.

A = s 2 Write the formula.

A = 1,0002 Replace s with 1,000.

A = 1,000,000 Simplify.

Answer: So, one square meter is equal to 1,000,000 square meters.

A. 20,000 cm2

B. 2,000 cm2

C. 200 cm2

D. 20 cm2

Convert two square meters to square centimeters.

Convert Volume Measurements

Convert one cubic yard to cubic feet.

A cubic yard is a cube with a side length of one yard or 3 feet.

V = bwh Write the formula.

V = 3 • 3 • 3 Replace b, w, and h with 3.

V = 27 Simplify.

Answer: So, one cubic yard is equal to 27 cubic feet.

A. 3,456 in3

B. 288 in3

C. 24 in3

D. 6 in3

Convert two cubic feet to cubic inches.

GARDENS A rectangular garden is 12 feet by 15 feet. How many square yards is the garden?

Convert Measurements

The area of the garden is 12 feet × 15 feet or 180 square

feet. Use the reciprocal of the unit ratio to find the

number of square yards.

Multiply by

Divide out common units, leaving the desired unit, yards.

Convert Measurements

Divide.

Answer: The garden is 20 square yards.

A. 900 yd2

B. 140 yd2

C. 47 yd2

D. 15.6 yd2

BEDROOMS Wendy’s bedroom is 10 feet by 14 feet. How many square yards is her bedroom?

Convert Volume to Capacity

Convert one cubic millimeter to milliliters.

A cubic millimeter is a cube with a side length of one millimeter or 0.1 centimeter. Use 1 cc = 1 mL to convert the rates.

V = bwh Write the formula.

V = 0.1 • 0.1 • 0.1 Replace b, w, and h with 3.

V = 0.001 Simplify.

Answer: So, one cubic millimeter is equal to 0.001 milliliter.

A. 0.3 mL

B. 3 mL

C. 30 mL

D. 300 mL

Convert three cubic centimeters to milliliters.