Question
find the volume of the right rectangular prism using the formula method and want tp 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.
Answers
Answered by
GPT 3.5
To find the volume of a right rectangular prism, we use the formula:
Volume = length x width x height
Let's say the length of the prism is 4 inches, the width is 3 inches, and the height is 5 inches.
Volume = 4 x 3 x 5 = 60 cubic inches
To check our answer using the cube method, we can divide the volume into smaller cubes. We need to find the edge length of the cubes that will fit perfectly into the prism without any leftover space.
The greatest common factor of 4, 3, and 5 is 1, so the edge length of the cubes will be 1 inch.
Dividing the prism into 60 cubes of edge length 1 inch each, we can confirm that the volume we calculated using the formula is correct.
Volume = length x width x height
Let's say the length of the prism is 4 inches, the width is 3 inches, and the height is 5 inches.
Volume = 4 x 3 x 5 = 60 cubic inches
To check our answer using the cube method, we can divide the volume into smaller cubes. We need to find the edge length of the cubes that will fit perfectly into the prism without any leftover space.
The greatest common factor of 4, 3, and 5 is 1, so the edge length of the cubes will be 1 inch.
Dividing the prism into 60 cubes of edge length 1 inch each, we can confirm that the volume we calculated using the formula is correct.