the figure below shows a shed in the shape of a rectangular prism. note that the shed has a floor. (a) use the calculator to find the surface area and volume of the shed. make sure to include the correct units. surface area: volume:

Question

Accepted Answer

# Explanation:
## Step1: Calculate the surface area
The formula for the surface area $S$ of a rectangular prism is $S = 2(lw+lh + wh)$, where $l = 12$ ft, $w=9$ ft, $h = 10$ ft.
$$
\begin{align*}
S&=2\times(12\times9+12\times10 + 9\times10)\
&=2\times(108 + 120+90)\
&=2\times(318)\
&=636
\end{align*}
$$
## Step2: Calculate the volume
The formula for the volume $V$ of a rectangular prism is $V=lwh$.
$$
\begin{align*}
V&=12\times9\times10\
&=108\times10\
&=1080
\end{align*}
$$

# Answer:
Surface area: $636$ square feet
Volume: $1080$ cubic feet

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Calculate the surface area

Step2: Calculate the volume

Answer: