Answer:
13 boxes
Step-by-step explanation:
Given
See attachment for closet
Required
Determine the number of boxes needed to fill the closet
First, we calculate the volume of the two section.
[tex]Volume = Width * Length * Height[/tex]
From the attachment
The first section is:
[tex]Width = 5ft\\ Length = 4ft\\ Height = 8ft[/tex]
[tex]V_1 = 5ft * 4ft * 8ft[/tex]
[tex]V_1 = 160ft^3[/tex]
The second section:
[tex]Width = 3ft\\ Length = 2ft\\ Height = 8ft[/tex]
The width is the last label at the top
The length is the difference between the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft
The volume is:
[tex]V_2 = 3ft * 2ft * 8ft[/tex]
[tex]V_2 = 48ft^3[/tex]
Total volume (V) is:
[tex]V = V_1 + V_2[/tex]
[tex]V = 160ft^3 + 48ft^3[/tex]
[tex]V = 208ft^3[/tex]
The number of box (n) needed is then calculated by dividing the calculated volume of the closet by the volume of each box
[tex]n = \frac{208ft^3}{16ft^3}[/tex]
[tex]n = 13[/tex]
