What is the volume of water in gallons for a channel that is 10 feet wide, 16 feet deep, and 700 feet long?

To determine the volume of water in gallons for a channel with given dimensions, first, we need to calculate the volume in cubic feet and then convert that volume to gallons.

The formula for calculating the volume of a rectangular channel is:

[

\text{Volume} = \text{Width} \times \text{Depth} \times \text{Length}

]

In this case, the channel dimensions are:

• Width = 10 feet

• Depth = 16 feet

• Length = 700 feet

Calculating the volume in cubic feet:

[

\text{Volume} = 10 , \text{feet} \times 16 , \text{feet} \times 700 , \text{feet}

]

[

\text{Volume} = 10 \times 16 \times 700 = 112,000 , \text{cubic feet}

]

Next, we convert cubic feet to gallons. The conversion factor is that 1 cubic foot is equivalent to approximately 7.48 gallons. Therefore, to find the volume in gallons:

[

\text{Volume in gallons} = 112,000 , \text{cubic