Question

question 1 (5 points)
estimate the number of gallons of water that will fit in the tank pictured below using the following information. assume you are filling an empty tank - meaning no decorative pieces in the tank. one gallon is equivalent to 231 cubic inches. round down to the nearest whole number.
rectangular prism
surface area = 2lw + 2hw + 2lh
volume = lwh
approximately 31 gallons
approximately 29 gallons
approximately 30 gallons
approximately 33 gallons

Explanation:

Step1: Calculate tank volume

The tank is a rectangular - prism with length $L = 30$ in, width $W = 16$ in, and height $H = 15$ in. Using the volume formula $V = LWH$, we have $V=30\times16\times15=7200$ cubic inches.

Step2: Convert volume to gallons

Since 1 gallon is equivalent to 231 cubic inches, the number of gallons $n=\frac{V}{231}$. Substituting $V = 7200$ cubic inches, we get $n=\frac{7200}{231}\approx31.17$.

Step3: Round down

We are asked to round down to the nearest whole number. So, $n = 31$.

Answer:

Approximately 31 gallons