Chapter 0, Problem 46PR

To determine

The volume and surface area of the rectangular prism.

Answer to Problem 46PR

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

Explanation of Solution

Given:

Length $l=3$ cm Width $w=2$ cm

Height $h=5$ 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,

  $\begin{array}{l}V=lwh\\ V=3\times 2\times 5\\ V=30{\text{ cm}}^3\end{array}$

Surface area of rectangular prism,

  $\begin{array}{l}A=2\left(lw+lh+wh\right)\\ A=2\left(3\times 2+3\times 5+2\times 5\right)\\ A=2\left(6+15+10\right)\\ A=2\left(31\right)\\ A=62{\text{ cm}}^2\end{array}$

Conclusion:

Hence, the surface area of the rectangular prism is ${\text{62 cm}}^2$ and volume of the rectangular prism is ${\text{30 cm}}^3$ .