How many gallons are in a rectangular tank that is 150' long, 42' wide, and 18.5' deep?

To determine how many gallons are in a rectangular tank, you first need to calculate the volume of the tank in cubic feet and then convert that volume into gallons.

The volume ( V ) of a rectangular tank can be calculated using the formula:

[ V = \text{length} \times \text{width} \times \text{depth} ]

Substituting the given dimensions into the formula:

[ V = 150' \times 42' \times 18.5' ]

Calculating this step-by-step:

1. First, calculate the area of the base: ( 150 \times 42 = 6,300 ) square feet.

2. Next, multiply the area by the depth to find the volume: ( 6,300 \times 18.5 = 116,550 ) cubic feet.

To convert cubic feet to gallons, use the conversion factor that 1 cubic foot equals approximately 7.48 gallons. Thus, the total volume in gallons is calculated as follows:

[ 116,550 \text{ cubic feet} \times 7.48 \text{ gallons/cubic foot} \approx 871,974 \text{ gallons}