a water tank is built in the form of a right rectangular prism, with dimensions that measure 12.9 ft by 5.5 ft by 4.7 ft. if the tank contains 210 cubic feet of water, what percent is full? round your answer to the nearest whole number if necessary.

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Accepted Answer

# Explanation:
## Step1: Calculate the volume of the tank
The volume $V$ of a right - rectangular prism is given by $V = l\times w\times h$, where $l = 12.9$ ft, $w = 5.5$ ft, and $h = 4.7$ ft.
$$
\begin{align*}
V&=12.9\times5.5\times4.7\
&=(13 - 0.1)\times5.5\times4.7\
&=(71.5-0.55)\times4.7\
&=70.95\times4.7\
&=(70 + 0.95)\times4.7\
&=70\times4.7+0.95\times4.7\
&=329+4.465\
& = 333.465\text{ cubic feet}
\end{align*}
$$
## Step2: Calculate the percentage of the tank that is full
The percentage $P$ is given by $P=\frac{\text{Volume of water}}{\text{Volume of tank}}\times100\%$.
We know that the volume of water $= 210$ cubic feet and the volume of the tank $V = 333.465$ cubic feet.
$$
\begin{align*}
P&=\frac{210}{333.465}\times 100\%\
&\approx0.63\times100\%\
& = 63\%
\end{align*}
$$

# Answer:
$63\%$

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Question

Explanation:

Step1: Calculate the volume of the tank

Step2: Calculate the percentage of the tank that is full

Answer: