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? A.240 B.480 C.720 D.960

Answer 1

the answer is b.480 and i hope u get a good grade

Answer 2

480

Explanation:

Dimensions of larger box

Length = 3 feet

Width =
`1(1)/(4)=(5)/(4)`

Height = 1/4 feet

Volume of larger box = length * width * height

=
`3*(5)/(4)*2`

`= 7.5 ft^(3)`

The edge length of each cube-shaped box placed in larger box is 1/4 ft.

Volume of smaller cube
`= x^(3)`

Where x is the edge length

Volume of smaller cube
`= 1/4^(3)`

`= 0.015625ft^(3)`

No. of smaller cubes can be place in larger box
`=\frac{\text{Volume of larger box}}{\text{volume of small cube}}`

`=(7.5)/(0.015625)`

`=480`

Hence 480 cube-shaped boxes can fit into the container