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

Answer:

$486\ toy\ boxes$

Step-by-step 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

$\frac{18}{(1/27)}= 486\ toy\ boxes$