A tank measures 40 ft long, 25 ft wide, and 12 ft high. How many gallons of liquid are in the tank?

A tank measures 40 ft long, 25 ft wide, and 12 ft high. How many gallons of liquid are in the tank?

• A. 89,772
• B. 100,000
• C. 75,000
• D. 95,000

Answer: (A)

Think in two steps: find the volume in cubic feet, then convert to gallons. The tank is a rectangular prism, so volume = length × width × height = 40 ft × 25 ft × 12 ft = 12,000 ft^3. There are about 7.48052 gallons per cubic foot, so the liquid volume ≈ 12,000 × 7.48052 ≈ 89,766 gallons. Rounding to the nearest gallon gives roughly 89,766–89,770 gallons, and 89,772 is the closest rounded value to this calculation, making it the best match. The other options are noticeably farther from the computed amount.

Think in two steps: find the volume in cubic feet, then convert to gallons. The tank is a rectangular prism, so volume = length × width × height = 40 ft × 25 ft × 12 ft = 12,000 ft^3. There are about 7.48052 gallons per cubic foot, so the liquid volume ≈ 12,000 × 7.48052 ≈ 89,766 gallons. Rounding to the nearest gallon gives roughly 89,766–89,770 gallons, and 89,772 is the closest rounded value to this calculation, making it the best match. The other options are noticeably farther from the computed amount.