Question

Chris is packing toy boxes that are cubes with 4 inch-sides into a crate. The crate is 3 feet wide by 3 feet long by 2 feet tall. How many toy boxes can Chris pack into the crate?

Answer 1

`486\ toy\ boxes`

Explanation:

we know that

`1\ ft=12\ in`

step 1

Convert the dimensions of the boxes to feet

`4\ in=4/12=(1/3)\ ft`

step 2

Find the volume of the toy boxes

`V=b^(3)`

`V=(1/3)^(3)=(1/27)\ ft^(3)`

step 3

Find the volume of the crate

`V=LWH`

`V=(3)(3)(2)=18\ ft^(3)`

step 4

Divide the volume of the crate by the volume of the toy boxes to find the number of toy boxes

`(18)/((1/27))= 486\ toy\ boxes`