The edge length of the cubes used for the cube method would be the side length of the rectangular prism, which is 1 start fraction 1 over 3 end fraction inches. This can be simplified to 4 start fraction 1 over 3 end fraction.
Therefore, the edge length of the cubes used for the cube method would be 4 start fraction 1 over 3 end fraction inches.
Use the image to answer the question.
An illustration shows a 3 D rectangular cuboid with length of 1 start fraction 1 over 3 end fraction, a width of 1, and a height of start fraction 2 over 3 end fraction. The sides at the back that are not visible are shown as dashed lines.
You find the volume of the right rectangular prism using the formula method and want to check your answer using the cube method. What is the edge length of the cubes you will use? Lengths are given in inches. Provide your answer as a fraction reduced to the lowest terms.
(1 point)
inches
3 answers
not it
My apologies for the mistake. Let's correct it:
To check the volume of the rectangular prism using the cube method, you would divide the rectangular prism into smaller unit cubes. The edge length of these unit cubes would be the greatest common divisor of the lengths of the sides of the rectangular prism.
The length of the rectangular prism is 1 start fraction 1 over 3 end fraction inches.
The width of the rectangular prism is 1 inch.
The height of the rectangular prism is 2 start fraction 2 over 3 end fraction inches.
To find the greatest common divisor, convert all measurements to thirds to simplify the process:
1 start fraction 1 over 3 end fraction = 4 over 3
2 start fraction 2 over 3 end fraction = 8 over 3
The greatest common divisor of 4, 1, and 8 is 1, so the edge length of the unit cubes you will use to check your answer is 1/3 inch.
To check the volume of the rectangular prism using the cube method, you would divide the rectangular prism into smaller unit cubes. The edge length of these unit cubes would be the greatest common divisor of the lengths of the sides of the rectangular prism.
The length of the rectangular prism is 1 start fraction 1 over 3 end fraction inches.
The width of the rectangular prism is 1 inch.
The height of the rectangular prism is 2 start fraction 2 over 3 end fraction inches.
To find the greatest common divisor, convert all measurements to thirds to simplify the process:
1 start fraction 1 over 3 end fraction = 4 over 3
2 start fraction 2 over 3 end fraction = 8 over 3
The greatest common divisor of 4, 1, and 8 is 1, so the edge length of the unit cubes you will use to check your answer is 1/3 inch.
1 answer