Answer: There are 160 plastic cubes that can fit into the box.
Step-by-step explanation:
Since we have given that
Length of box = 4 ft
Width of box = 212 ft
Height of box = 2 ft
As we know that the formula for "Volume of cuboid":
\(Volume=Length\times Width\times Height\\\\Volume=4\times 2\frac{1}{2}\times 2\\\\Volume=4\times \frac{5}{2}\times 2\\\\Volume=20\ ft^3\)
And we have
Edge length of each plastic = \(\frac{1}{2}\ ft\)
As we know that the formula for "Volume of cube":
\(Volume=Side^3\\\\Volume=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}\\\\Volume=\frac{1}{8}\ ft^3\)
So, Number of plastic cubes can fit into the box is given by
\(\frac{\text{ Volume of box}}{\text{ Volume of plastic cube}}\\\\=\frac{20}{\frac{1}{8}}\\\\=20\times 8\\\\=160\)
Hence, there are 160 plastic cubes that can fit into the box.
