Q46. - Algebra 1

Question

Find the volume and surface area of each rectangular prism.

Step-by-Step Solution

Answer

$\begin{array}{l}V=30{\text{ cm}}^3\\ A=62{\text{ cm}}^2\end{array}$

Step 1. Measurement of the side length of the rectangular prism.

$l=3\text{ cm, }w=2\text{ cm, }h=5\text{ cm}$

Step 2. 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 3. Calculate the volume.

$\begin{array}{l}V=\left(3\right)\left(2\right)\left(5\right)\\ V=30{\text{ cm}}^3\end{array}$

Step 4. Calculate the surface area.

$\begin{array}{l}A=2\left[\left(3\right)\left(2\right)+\left(2\right)\left(5\right)+\left(5\right)\left(3\right)\right]\\ A=2\left(6+10+15\right)\\ A=62{\text{ cm}}^2\end{array}$

Therefore, the volume and surface area of the rectangular prism

$\begin{array}{l}V=30{\text{ cm}}^3\\ A=62{\text{ cm}}^2\end{array}$