Question

A jar is filled with marbles that are 1 cm in diameter. If the jar is a rectangular prism that measures

3" x 4" x 10", approximately how many marbles can fit in the jar? (1 inch = 2.54 cm)

Answer 1

Approximately 304.8 marbles

Explanation:

Lets first find the total inches of volume for the container:

`3*4*10=120in^3`

Now convert this to cubic centimeters

`1in^3=2.54cm^3\\120in^3=304.8cm^3`

We know the volume of a marble is 1 because 1*1*1=1. So just find how many times 1 can fit into the volume, i.e. divide by 1, and get the same result. Approximately 304.8 marbles.