Q45. - Algebra 1

Question

Find the volume and surface area of each rectangular prism give the measurement below.

$l=6ft,w=2ft,h=5ft$

Step-by-Step Solution

Answer

The volume of the rectangular prism is 60 cubic feet.

And the surface area of the rectangular prism is 104 square feet.

Step 1. Apply the formula of the volume and surface area of the rectangular prism.

$\begin{array}{l}\text{Volume }V=lwh\\ \text{Surface area }A=2\left(lw+wh+hl\right)\end{array}$

Step 2. Calculate the volume.

$\begin{array}{l}V=\left(6\right)\left(2\right)\left(5\right)\\ V=60{\text{ ft}}^3\end{array}$

Step 3. Calculate the surface area.

$\begin{array}{l}A=2\left[\left(6\right)\left(2\right)+\left(2\right)\left(5\right)+\left(5\right)\left(6\right)\right]\\ A=2\left(12+10+30\right)\\ A=104{\text{ ft}}^2\end{array}$

Therefore, the volume and surface area of the rectangular prism.

$\begin{array}{l}V=60{\text{ ft}}^3\\ A=104{\text{ ft}}^2\end{array}$