Chapter 11.5, Problem 52STP

(a)

To determine

To calculate: To find how much rice would fit in the box

Answer to Problem 52STP

The box can hold $360{\mathrm{cm}}^3$ of rice

Explanation of Solution

Given information: The box below is designed to hold rice

  

Formula Used:

Volume of cuboid is given as

  $Volume=Length\times Width\times Height$

Calculation:

Given a box designed to hold rice is as follows:

  

Amount of rice that can fit in the box can be calculated by finding the volume of the box.

Volume of box is calculated as follows

  $Volume=Length\times Width\times Height$

Substituting the values in above equation:

  $\begin{array}{l}Volume=9\times 5\times 8\\ Volume=360{\mathrm{cm}}^3\end{array}$

Conclusion:

Hence, box can hold $360{\mathrm{cm}}^3$ of rice

(b)

To determine

To calculate: To find

the area of label on the box

Answer to Problem 52STP

The area of label on the box is $314{\mathrm{cm}}^2$

Explanation of Solution

Given information: The box below is designed to hold rice and the label that covers all surfaces

  

Formula Used:

Surface area of cuboid is given as

  $SA=2\left(lw+wh+lh\right)$

Where,

  $l=$ Length

  $w=$ Width

  $h=$ Height

Calculation:

Given a box designed to hold rice is as follows:

  

Area of label on the box is calculated as follows:

  $SA=2\left(lw+wh+lh\right)$

Substituting the values in above equation:

  $\begin{array}{l}SA=2\left(\left(9\right)\left(5\right)+\left(5\right)\left(8\right)+\left(9\right)\left(8\right)\right)\\ SA=2\left(45+40+72\right)\\ SA=2\left(157\right)\\ SA=314{\mathrm{cm}}^2\end{array}$

Conclusion:

Hence, area of label on the box is $314{\mathrm{cm}}^2$