Question

10) The training center storage cabinet for books measures 8ft. By 7ft & is 8ft high. How many boxes measuring 4ft. By by 2ft. & standing 2ft. High can be put in that cabinet?

Answer 1

Given:

The storage cabinet for books measures,

Length = 8 ft, width = 7ft and height = 8ft

The volume is calculated as,

`\begin{gathered} V_1=lwh \\ =(8)\mleft(7\mright)(8) \\ =448 \end{gathered}`

Similarly find the volume of the box with length 4 ft , width 2 ft and heigth 2 ft.

`\begin{gathered} V_2_{}=lwh \\ =4(2)(2) \\ =16 \end{gathered}`

The number of boxes the storage cabinet will contain is given as,

`n=(V_1)/(V_2)=(448)/(16)=28`

Answer: the number of boxes will be 28.