There are 40 boxes with a stacking height of 4. This means that four boxes are stacked together.
How many numbers of a stack of 4 boxes will equal 40 boxes
To get that we have
[tex]\begin{gathered} numberofstack=\frac{Total\text{ number of boxes}}{number\text{ of boxes in a stack}} \\ =\frac{40}{4}=10\text{ stacks} \end{gathered}[/tex]To get the floor space area, we need to find the base area of each box
Given the dimensions of the box as length=3feet; width =4feet and height = 5feet
The base of a box a rectangle shape
To find the area of a box, we find the base area which is the area of a rectangle using the length and the width
[tex]\begin{gathered} the\text{ base area=length }\times width \\ \text{length}=3ft;\text{ width=4ft} \\ \text{area}=3ft\times4ft \\ =12ft^2 \end{gathered}[/tex]We have 10 boxes occupying the floor space. so to calculate the area of the floor space we multiply the area of the base by 10
[tex]\begin{gathered} \text{Area of the floor space=10}\times area\text{ of each of the box } \\ =10\times12ft^2 \\ =120ft^2 \end{gathered}[/tex]Hence the floor space needed to store the boxes is 120 square feet