Chapter 12.2, Problem 20PPS

To determine

The amount of bag ben should buy to potting soil to his window.

Answer to Problem 20PPS

The amount of bags ben should buy to potting soil to his window is $3.5$ bags.

Explanation of Solution

Given:

Measurements of Window:

length $:42inches$

width : $8inches$

height: $6inches$

one bag has: $576cubicinches$ soil

Concept Used:

Volume of Rectangle:

  $V=l\times w\times h$

Where,

length $:l$

width : $w$

height: $h$

Calculation:

length $:42inches$

width : $8inches$

height: $6inches$

  $\begin{array}{l}V=l\times w\times h\\ V=42\times 8\times 6\\ V=42\times 48\\ V=2016i{n}^3\end{array}$

Volume of window box is $2016$ cubic inches.

Volume of one bag $576cubicinches$

Number of bags:

Volume of window box/volume of one bag

  $=\frac{2016}{576}=3.5bags$

If take the whole value then ben wants to buy three bags, other than he wants to buy $3.5$ bags that is one bag filled half by potting soil so three and half bags required.

Conclusion:

Hence, the amount of bags ben should buy to potting soil to his window is $3.5$ bags.