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

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

• A. 600,000 gal
• B. 750,000 gal
• C. 871,974 gal
• D. 1,000,000 gal

Answer: (C)

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}

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}