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
