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 prism? Provide your answer as a fraction reduced to the lowest terms.
To find the volume of the prism using the cube method, we need to count the number of cubes that can fit inside the prism.
The dimensions of the prism are not provided, so we will consider a random example:
Let's say the prism has dimensions of 3 inches in length, 2 inches in width, and 4 inches in height.
Now, we calculate the number of cubes that can fit along each dimension:
- Along the length (3 inches): 3 / (1/3) = 9 cubes
- Along the width (2 inches): 2 / (1/3) = 6 cubes
- Along the height (4 inches): 4 / (1/3) = 12 cubes
Now, we multiply the number of cubes along each dimension to find the total number of cubes inside the prism:
9 cubes * 6 cubes * 12 cubes = 648 cubes
Therefore, the volume of the prism is 648 cubes * (1/3 inch)^3 = 648 * (1/27) inch^3 = 24 inch^3.
Thus, the volume of the right rectangular prism using the cube method is 24 cubic inches.