Question

Trey has plastic cubes stored in a box that measures 4 ft long, 212 ft wide, and 2 ft tall. The edge length of each plastic cube is 12 ft. How many plastic cubes can fit into the box?

Answer 1

Your answer would be 160 had it on a test

hope this helps

Answer 2

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.