Find the volume of the right rectangular prism using the cube method. Each cube is 1/3 inch on each side. What is the volume of the rectangular prism Provide your answer as a fraction reduced to the lowest term.
The cube method involves counting the number of small cubes that can fit inside the larger rectangular prism.
Let's label the dimensions of the rectangular prism as length (l), width (w), and height (h).
We know that each small cube has a side length of 1/3 inch, so it takes 3 small cubes to make up 1 inch.
Therefore, the number of small cubes that can fit along the length of the rectangular prism is 3l, the number that can fit along the width is 3w, and the number that can fit along the height is 3h.
The total number of small cubes that can fit inside the rectangular prism is:
3l x 3w x 3h = 27lwh
This means that the volume of the rectangular prism is:
V = (27lwh) x (1/27) = lwh
So the volume of the right rectangular prism is simply lwh.
As a fraction reduced to lowest terms, the volume can be written as:
V = lwh / 1 = lwh