Chapter 0, Problem 55PO

To determine

The volume and surface area of the rectangular prism.

Answer to Problem 55PO

  $\begin{array}{l}V=2{\text{ in}}^3\\ A=13{\text{ in}}^2\end{array}$

Explanation of Solution

Given:

Length $l=4$ in Width $w=1$ in

Height $h=\frac{1}{2}=0.5$ in

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,

  $\begin{array}{l}V=lwh\\ V=4\times 1\times 0.5\\ V=2{\text{ in}}^3\end{array}$

Surface area of rectangular prism,

  $\begin{array}{l}A=2\left(lw+lh+wh\right)\\ A=2\left(4\times 1+4\times 0.5+1\times 0.5\right)\\ A=2\left(4+2+0.5\right)\\ A=2\left(6.5\right)\\ A=13{\text{ in}}^2\end{array}$

Conclusion:

Hence, the surface area of the rectangular prism is ${\text{13 in}}^2$ and volume of the rectangular prism is ${\text{2 in}}^3$ .