Chapter 0, Problem 52PR

To determine

The volume and surface area of the rectangular prism.

Answer to Problem 52PR

  $\begin{array}{l}V=40{\text{ in}}^3\\ A=76{\text{ in}}^2\end{array}$

Explanation of Solution

Given:

Length $l=5$ in Width $w=4$ in

Height $h=2$ 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,

  $\begin{array}{l}V=lwh\\ V=5\times 4\times 2\\ V=40{\text{ in}}^3\end{array}$

Surface area of rectangular prism,

  $\begin{array}{l}A=2\left(lw+lh+wh\right)\\ A=2\left(5\times 4+5\times 2+4\times 2\right)\\ A=2\left(20+10+8\right)\\ A=2\left(38\right)\\ A=76{\text{ in}}^2\end{array}$

Conclusion:

Hence, the surface area of the rectangular prism is ${\text{76 in}}^2$ and volume of the rectangular prism is ${\text{40 in}}^3$ .