Find the volume of the right rectangular prism using the cube method. Each cube is 13 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 right rectangular prism using the cube method, we need to count the number of small cubes that make up the larger prism.
Since each side of the small cube is 13 inches, the volume of each small cube is 13^3 = 2197 cubic inches.
Now, we need to find the number of small cubes in the larger prism. The prism has dimensions given as length = 39 inches, width = 26 inches, and height = 13 inches.
To find the number of cubes that fit in the length dimension, we divide 39 by 13: 39/13 = 3 cubes. Likewise, we divide 26 by 13 and 13 by 13 to find that there are 2 cubes in the width and height dimensions, respectively.
Multiplying these three values together, we get that there are a total of 3 * 2 * 1 = 6 cubes in the larger prism.
Therefore, the volume of the prism is 6 * 2197 = 13,182 cubic inches.
So, the volume of the right rectangular prism is 13,182 cubic inches, which can be written as the fraction 13,182/1.