Question

7) How many cartons measuring 3ft. By 2ft. By 2ft. Can fit in the apex company storeroom?

Answer 1

Given:

Volume of the company's store room = 8,400 cubic ft.

carton size = 3ft by 2ft by 2ft

Find: number of cartons that will fit in the store room

Solution:

The first thing to do here is get the space or volume covered by one carton. The formula is:

`V=length* width* height\text{ }`

Plug in the dimensions of the carton to the formula.

`V=3ft*2ft*2ft=12ft^3`

Hence, the space covered by one carton is 12 cubic feet.

To determine the number of cartons that will fit in the store room, let's divide the available space 8,400 cubic feet by the space covered by 1 carton that is 12 cubic feet.

`Numberofcartons=(8,400ft^3)/(12ft^3)=700\text{ }`

Hence, there are 700 cartons measuring 3ft by 2ft by 2ft that can fit in the Apex Company store room.