Q:

a toy company uses the Box shown below to package wooden cubes each wooden Cube has a volume of 1/8 cubic feet in total how many wooden cubes will fit in the Box

Accepted Solution

A:

Answer 240 cubes can go in the box.
You have to assume that the 1/8 cube is similiar in shape to the box they are being shipped in.

volume of the box = L  * W * H
Volume of the box = 5 * 3 * 2 
Volume of the box = 30 cu feet.

Now we come to the fractions. The number of cubes can be written as 
 [tex]\text{Cubes =}\frac{30}{\frac{1}{8} } [/tex]

To make the problem more understandable, change the 30 to 30/1
[tex] \frac{ \frac{30}{1} }{ \frac{1}{8} } [/tex]

Now when you have a 4 level fraction like this, the rule is to invert and multiply. In other words, you make 1/8 into 8/1 and multiply by 30/1

[tex] \frac{30}{1} * \frac{8}{1} [/tex]

When you have done all that, you get
30 * 8 = 240 

You can ship 240 cubes in the box. <<<< answer