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

Answer:

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

Answer 2

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