Chapter 0, Problem 50PRT

To determine

The volume and surface area of the rectangular prism.

Answer to Problem 50PRT

  $\begin{array}{l}A={\text{9 cm}}^3\\ A=30{\text{ cm}}^2\end{array}$

Explanation of Solution

Given:

Length $l=3$ cm Width $w=1$ cm

Height $h=3$ cm

Formula used:

Volume of rectangular prism,

  $V=lwh$

Surface area of rectangular prism,

  $A=2\left(lw+lh+wh\right)$

Where,

  $l=$ Length

  $w=$ Width

  $h=$ Height

Calculation:

Volume of rectangular prism,

  $\begin{array}{l}V=lwh\\ V=3\times 1\times 3\\ V=9{\text{ cm}}^3\end{array}$

Surface area of rectangular prism,

  $\begin{array}{l}A=2\left(lw+lh+wh\right)\\ A=2\left(3\times 1+3\times 3+1\times 3\right)\\ A=2\left(3+9+3\right)\\ A=30{\text{ cm}}^2\end{array}$

Conclusion:

Hence, the surface area of the rectangular prism is ${\text{30 cm}}^2$ and volume of the rectangular prism is ${\text{9 cm}}^3$ .