Question

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

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

Short answer

The volume of the rectangular prism is 60 cubic feet.

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

Step-by-step solution

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

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

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.

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