What is the volume of water required to fill a pool that is 10 ft long, 7 ft wide, and 12 ft deep to within 14 inches of the top?

What is the volume of water required to fill a pool that is 10 ft long, 7 ft wide, and 12 ft deep to within 14 inches of the top?

• A. 500 gallons
• B. 765 gallons
• C. 1000 gallons
• D. 1200 gallons

Answer: (B)

To determine the volume of water needed to fill a pool, first, we need to calculate the total volume of the pool up to the desired water level, which is 14 inches from the top. The pool dimensions are: - Length: 10 ft - Width: 7 ft - Depth: 12 ft First, convert the 14 inches to feet for consistency. Since there are 12 inches in a foot, 14 inches is equal to: 14 inches / 12 = 1.1667 ft (approximately). The water will be filled to a height of: 12 ft (total depth) - 1.1667 ft (space from top) = 10.8333 ft (height of the water). Now, we calculate the volume of water in cubic feet using the formula for the volume of a rectangular prism (Volume = Length × Width × Height): Volume = 10 ft × 7 ft × 10.8333 ft = 10 × 7 × 10.8333 = 757.333 cubic feet. Next, we need to convert cubic feet to gallons. There are approximately 7.48 gallons in 1 cubic foot, so we multiply the volume in

To determine the volume of water needed to fill a pool, first, we need to calculate the total volume of the pool up to the desired water level, which is 14 inches from the top.

The pool dimensions are:

• Length: 10 ft

• Width: 7 ft

• Depth: 12 ft

First, convert the 14 inches to feet for consistency. Since there are 12 inches in a foot, 14 inches is equal to:

14 inches / 12 = 1.1667 ft (approximately).

The water will be filled to a height of:

12 ft (total depth) - 1.1667 ft (space from top) = 10.8333 ft (height of the water).

Now, we calculate the volume of water in cubic feet using the formula for the volume of a rectangular prism (Volume = Length × Width × Height):

Volume = 10 ft × 7 ft × 10.8333 ft = 10 × 7 × 10.8333 = 757.333 cubic feet.

Next, we need to convert cubic feet to gallons. There are approximately 7.48 gallons in 1 cubic foot, so we multiply the volume in