Question

Laura wants to paint the walls in her bedroom. A gallon of paint will cover 400 ft². She measures the surface to be painted and it is 248,861 in² How many gallons of paint should she buy?

Use an English/Metric conversion for area given in the table to convert the following measurement to the specified measurement. Round to the nearest hundredth, if necessary.

1 in2 ≈ 6.45 cm²
1 ft2 ≈ 0.093 m²
1 yd2 ≈ 0.836 m²
1 mi2 ≈ 2.59 km²
1 acre ≈ 4,047 m²

8,000 in² = _____ mm²

Convert the following using dimensional analysis.
81 inches to feet

Answer 1

Laura should buy 5 gallons of paint to cover her bedroom walls. To convert 8,000 in² to mm², the result is 5,161,280 mm². For dimensional analysis, 81 inches is equal to 6.75 feet.

Step-by-step explanation:

To determine the number of gallons of paint Laura should buy, we need to convert the surface area from square inches to square feet. Since 1 square foot is equal to 144 square inches, we divide Laura's total wall area by 144:

248,861 in² ÷ 144 in²/ft² = 1,728.2 ft²

Next, since one gallon of paint covers 400 ft², we will divide the total area in feet by 400 to find out how many gallons are needed:

1,728.2 ft² ÷ 400 ft²/gallon = 4.32 gallons

Laura should buy 5 gallons of paint to ensure she has enough, rounding up to the nearest whole gallon.

For the 8,000 in² to mm² conversion, we know that 1 inch is equal to 25.4 millimeters. To convert square inches to square millimeters, we square the conversion factor:

8,000 in² × (25.4 mm/in)² = 8,000 in² × 645.16 mm²/in² = 5,161,280 mm²

For dimensional analysis from inches to feet, we use the conversion factor of 1 foot = 12 inches:

81 inches × (1 ft / 12 in) = 6.75 feet