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. Compare Methods of Finding Volume Practice help pls
To find the volume of the right rectangular prism using the cube method, we need to divide the prism into individual cubes and then calculate the total number of cubes.
Given:
Each cube side length = 13 inches
Let's start with the formula for calculating the volume of a rectangular prism:
Volume = length x width x height
Since each cube has a side length of 13 inches, the volume of one cube is:
13 x 13 x 13 = 2197 cubic inches
To find the volume of the prism, we need to determine how many cubes fit into the prism.
Let's say the prism has dimensions:
Length = 39 inches
Width = 26 inches
Height = 13 inches
To find the number of cubes in the prism, we divide the dimensions by the cube side length:
Number of cubes = (39/13) x (26/13) x (13/13) = 3 x 2 x 1 = 6 cubes
Finally, we calculate the total volume of the prism:
Total volume = Volume of one cube x Number of cubes = 2197 cubic inches x 6 = 13182 cubic inches
Therefore, the volume of the right rectangular prism using the cube method is 13182 cubic inches.
To provide the answer as a fraction reduced to the lowest terms, we can simplify it:
13182/1 = 13182
So, the volume of the prism as a reduced fraction is 13182/1 or simply 13182 cubic inches.