Use the image to answer the question.
An illustration shows a rectangular prism made of cubes placed as 3 columns, 2 cubes high and 2 cubes deep.
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.
(1 point)
The prism is made up of 12 cubes in total. Each cube has a volume of 13^3 cubic inches, which is 2197 cubic inches. Therefore, the volume of the prism is:
12 x 2197 = 26364 cubic inches
Expressing this as a fraction in lowest terms, we get:
26364/1 = 26364/1
So the volume of the prism is 26364/1 cubic inches.
To find the volume of the right rectangular prism using the cube method, we need to count the number of cubes that make up the prism and multiply it by the volume of each cube.
From the given information, we know that the prism consists of 3 columns, 2 cubes high, and 2 cubes deep. So, the total number of cubes is: 3 (columns) x 2 (height) x 2 (depth) = 12 cubes.
Since each cube has a side length of 13 inches, the volume of each cube is: 13 inches x 13 inches x 13 inches = 2197 cubic inches.
To find the volume of the prism, we need to multiply the number of cubes (12) by the volume of each cube (2197 cubic inches):
Volume of prism = 12 cubes x 2197 cubic inches/cube = 26364 cubic inches.
Therefore, the volume of the right rectangular prism, using the cube method, is 26364 cubic inches.
To find the volume of the right rectangular prism using the cube method, we need to find the number of cubes that make up the prism, and then multiply this by the volume of each cube.
From the given information, we know that the prism is made up of 3 columns, each 2 cubes high, and 2 cubes deep.
Therefore, the total number of cubes in the prism is 3 x 2 x 2 = 12 cubes.
Now, let's find the volume of each cube. Each cube has sides measuring 13 inches.
The volume of a cube is given by V = s^3, where s is the length of each side of the cube.
In this case, the volume of each cube is 13^3 = 2197 cubic inches.
Finally, we can find the volume of the prism by multiplying the number of cubes by the volume of each cube:
Volume of the prism = 12 cubes x 2197 cubic inches/cube = 26364 cubic inches.
Therefore, the volume of the right rectangular prism is 26364 cubic inches.