Given:
The storage cabinet for books measures,
Length = 8 ft, width = 7ft and height = 8ft
The volume is calculated as,
[tex]\begin{gathered} V_1=lwh \\ =(8)\mleft(7\mright)(8) \\ =448 \end{gathered}[/tex]
Similarly find the volume of the box with length 4 ft , width 2 ft and heigth 2 ft.
[tex]\begin{gathered} V_2_{}=lwh \\ =4(2)(2) \\ =16 \end{gathered}[/tex]
The number of boxes the storage cabinet will contain is given as,
[tex]n=\frac{V_1}{V_2}=\frac{448}{16}=28[/tex]
Answer: the number of boxes will be 28.
