Question

a company makes storage containers with sheet steel walls. the containers are shaped like rectangular prisms, as shown below. if the company is going to make 5 containers, how many square meters of sheet steel will be needed?

Explanation:

Step1: Calculate surface - area of one container

The surface - area formula for a rectangular prism is $2(lw + lh+wh)$, where $l = 4m$, $w = 4m$, and $h = 6m$.
\[

$$\begin{align*} SA&=2(4\times4 + 4\times6+4\times6)\\ &=2(16 + 24 + 24)\\ &=2\times64\\ &=128m^{2} \end{align*}$$

\]

Step2: Calculate surface - area for 5 containers

Multiply the surface - area of one container by 5.
$128\times5 = 640m^{2}$

Answer:

$640$