For example: A rectangular prism is 6 cm long, 5 cm wide, and 2 cm high. How many 1/3 cm cubes are needed to completely fill the right rectangular prism if the cubes have no spaces between them?

**Solution:**

Volume of rectangular prism = Length * width * height

= 6 * 5 * 2

= 60

Volume of cube = side * side * side

= ⅓ * ⅓ * ⅓

= 1/27

Number of cubes = Volume of rectangular prism ÷ Volume of cube

= 60 ÷ 1/27

= 60 * 27

= 1620

Therefore, 1620 cubes are needed to completely fill the right rectangular prism.