Question

An electronics company packages its product in cube-shaped boxes. These boxes are placed into a larger box that measures 3 ft long, 114 ft wide, and 2 ft tall. The edge length of each cube-shaped box is 14 ft. How many cube-shaped boxes can fit into the container? 240 boxes 480 boxes 720 boxes 960 boxes.

Answer 1

The number of boxes fitted in the larger container is found out by the volume of both boxes.

The number of boxes fitted into the larger container is 480.

What is the volume?

The volume can be defined as the space occupied by an object in three dimensions.

Given that the edge of the cube box is 1/4 ft. The dimensions of the larger box are 3 ft long, 1 1/4 ft wide, and 2 ft.

The volume of the cube box is calculated as given below.

$V_s = s^3$

Where Vs is the volume of the cube box and s is the edge of the cube box.

$V_s = \dfrac {1}{4}^3$

$V_s = 0.015625\;\rm ft^3$

The volume of the larger box is calculated as given below.

$V = l \times w\times h$

Where V is the volume, l is length, w is width and h is the height of the larger box.

$V = 3 \times \dfrac {5}{4} \times 2$

$V = 7.5\;\rm ft^3$

The number of cube boxes fitted into the larger box is calculated as given below.

$No. \; of \;boxes = \dfrac {V}{V_s}$

$No. \; of \;boxes = \dfrac {7.5}{0.015625}$

$No. \; of \;boxes = 480$

Hence we can conclude the number of boxes fitted into the larger container is 480.

To know more about the volume, follow the link given below.

https://brainly.com/question/1578538.