Answer:
480
Step-by-step explanation:
Dimensions of larger box
Length = 3 feet
Width =[tex]1\frac{1}{4}=\frac{5}{4}[/tex]
Height = 1/4 feet
Volume of larger box = length * width * height
= [tex]3*\frac{5}{4}*2[/tex]
[tex]= 7.5 ft^{3}[/tex]
The edge length of each cube-shaped box placed in larger box is 1/4 ft.
Volume of smaller cube [tex]= x^{3}[/tex]
Where x is the edge length
Volume of smaller cube [tex]= 1/4^{3}[/tex]
[tex]= 0.015625ft^{3}[/tex]
No. of smaller cubes can be place in larger box [tex]=\frac{\text{Volume of larger box}}{\text{volume of small cube}}[/tex]
[tex]=\frac{7.5}{0.015625}[/tex]
[tex]=480[/tex]
Hence 480 cube-shaped boxes can fit into the container
