To find the volume of the prism using the cube method, we need to count the number of cubes that fit into the prism.
Counting the cubes in the image, we have:
- 12 cubes in the base (3 cubes along the length and 4 cubes along the width)
- 3 layers of cubes in the height
Therefore, the total number of cubes in the prism is 12 * 3 = 36 cubes.
Since each cube has a volume of 1/3 inch on each side, the total volume of the prism is 36 * (1/3)^3 = 36 * 1/27 = 36/27 = 4/3 cubic inches.
Therefore, the volume of the prism is 4/3 cubic inches.
Compare methods of finding volume practice 1 of 5. Complete this assessment to review what you've learned. It will not count toward your grade. Use the image to answer the question. 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 answer