Chapter 12, Problem 8PT

To determine

To calculate:To find if all $10$ cartons of broth fit in the pot

Answer to Problem 8PT

Yes, all $10$ cartons of broth can fit in the pot

Explanation of Solution

Given information:S is putting $10$ cartons of chicken broth into a large pot that holds $250$ cubic inches. Each carton is $6$ inches tall, $4$ inches wide and $1$ inch thick

Formula Used:

Volume of cuboid is product of length, width and height of cuboid

  $Volume=Length\times Width\times Height$

Calculation:

Given that each carton is $6$ inches tall, $4$ inches wide and $1$ inch thick

Also, there are $10$ cartons

Volume of one carton is calculated as

  $Volume=Length\times Width\times Height$

Substituting the values, volume is

  $\begin{array}{l}Volume=6\times 4\times 1\\ Volume=24i{n}^3\end{array}$

Now, volume of $10$ cartons is calculated as

  $\begin{array}{l}Volume=10\times 24i{n}^3\\ Volume=240i{n}^3\end{array}$

Given that large pot holds $250$ cubic inches

And volume of $10$ cartons all together is $240$ cubic inches

Since the volume of $10$ cartons is less that what pot can hold,

Thus, all $10$ cartons of broth can fit in the pot

Conclusion:

Hence, yes, all $10$ cartons of broth can fit in the pot