Use the image to answer the question.
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 1/3 inch on each side. What is the volume of the prism? Provide your answer as a fraction reduced to the lowest terms.
(1 point)
cubic inches
The volume of the rectangular prism can be found by multiplying the number of cubes in each dimension.
There are 3 columns, 2 cubes high, and 2 cubes deep, so the volume can be calculated as: 3 * 2 * 2 = 12 cubes.
Each cube has sides measuring 1/3 inch, so the volume of the prism is 12 * (1/3)^3 = 12 * 1/27 = 4/27 cubic inches.
Therefore, the volume of the prism is 4/27 cubic inches.
wrong
Apologies for the mistake. Let's try to calculate the correct volume of the prism.
The prism is made up of 3 columns, 2 cubes high, and 2 cubes deep, which gives us a total of 3 * 2 * 2 = 12 cubes.
Since each cube has sides measuring 1/3 inch, the volume of the prism is calculated as 12 * (1/3)^3 = 12 * 1/27 = 4/9 cubic inches.
Therefore, the correct volume of the prism is 4/9 cubic inches. Thank you for your patience.