Answer:
6.5 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.
According to the attachment
The first section has the following dimension:
[tex]Width = 5ft[/tex]
[tex]Length = 4ft[/tex]
[tex]Height = 8ft[/tex]
The second has the following dimension:
[tex]Width = 3ft[/tex] ---- see the last label at the top
[tex]Length = 2ft[/tex] --- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft
[tex]Height = 8ft[/tex]
So: The volume of the closet is:
[tex]Volume = W_1 * L_1 * H_1 + W_2 * L_2 * H_2[/tex]
[tex]Volume = 5ft * 4ft * 8ft + 3ft * 2ft * 8ft[/tex]
[tex]Volume = 160ft^3 + 48ft^3[/tex]
[tex]Volume = 208ft^3[/tex]
The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)
[tex]Boxes = \frac{208ft^3}{32ft^3}[/tex]
[tex]Boxes= \frac{208}{32}[/tex]
[tex]Boxes = 6.5[/tex]
