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.

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* Width* Height\\\\Volume=4* 2(1)/(2)* 2\\\\Volume=4* (5)/(2)* 2\\\\Volume=20\ ft^3`

And we have

Edge length of each plastic =
`(1)/(2)\ ft`

As we know that the formula for "Volume of cube":

`Volume=Side^3\\\\Volume=(1)/(2)* (1)/(2)* (1)/(2)\\\\Volume=(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}}\\\\=(20)/((1)/(8))\\\\=20* 8\\\\=160`

Hence, there are 160 plastic cubes that can fit into the box.