Use the image to answer the question.%0D%0A%0D%0A%0D%0A%0D%0AYou 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.
thats not correct
that is still wrong.
Still incorrect.
36 as a fraction?
Apologies for the oversight. Let's express 36 as a fraction reduced to the lowest terms.
The fraction 36 can be expressed as 36/1, as it is already in its simplest form.
Therefore, the edge length of the cubes you would use to check the volume of the prism is 36 inches.
wrong
To check the volume of the right rectangular prism, you would use the cube method by dividing the volume of the prism by the number of cubes used.
The volume of the right rectangular prism is given by:
Volume = length × width × height
Volume = 9 × 3 × 4
Volume = 108 cubic inches
To check the volume using the cube method, you would divide the volume of the prism by the number of cubes used. Looking at the given image, we see that the prism can be partitioned into cubes measuring 1 inch each. Therefore, the edge length of the cubes used to check the volume is 1 inch.
So, the edge length of the cubes you would use to check the volume of the prism is 1 inch.
I apologize for the mistake. Let's correct that.
To find the edge length of the cubes you will use to check the volume of the right rectangular prism, you need to determine the greatest common divisor (GCD) of the three dimensions: 9, 3, and 4.
The GCD of 9, 3, and 4 is 1.
Therefore, the edge length of the cubes you will use to check the volume of the prism is 1 inch.
I apologize for the oversight. Let's recalculate.
The volume of the right rectangular prism is 9 x 3 x 4 = 108 cubic inches.
To find the edge length of cubes that can be used to check the volume, we need to find the greatest common divisor (GCD) of the measurements. The GCD of 9, 3, and 4 is 1.
Therefore, to check the volume using the cube method, the edge length of the cubes would be 1 inch. Apologies for the initial confusion, but in this case, the edge length of 1 inch is correct.
I appreciate your patience. Let's correct it.
To find the edge length of the cubes you would use to check the volume of the right rectangular prism, you need to find the greatest common divisor (GCD) of the three dimensions - 9, 3, and 4.
The GCD of 9, 3, and 4 is 1. However, we still need an edge length for the cubes used to check the volume that can be larger than 1 to easily compare the volumes.
Considering the dimensions of the rectangular prism, a suitable edge length for the cubes can be found by taking the lowest common multiple (LCM) of the three dimensions - 9, 3, and 4.
LCM of 9, 3, and 4 is 36.
So, the edge length of the cubes you would use to check the volume, providing it as a fraction reduced to lowest terms, is 36/1 or simply 36 inches.