Mathematics: 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

An electronics company packages its product in

joserms729

17.01.2022

480

Step-by-step explanation:

Dimensions of larger box

Length = 3 feet

Width = $1\frac{1}{4}=\frac{5}{4}$

Height = 1/4 feet

Volume of larger box = length * width * height

= $3*\frac{5}{4}*2$

$= 7.5 ft^{3}$

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 $=\frac{\text{Volume of larger box}}{\text{volume of small cube}}$

$=\frac{7.5}{0.015625}$

=480

Hence 480 cube-shaped boxes can fit into the container

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