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.
