Question
A right rectangular prism is made up of 4 cubes that are 15 inch on each side. Use the cube method or the formula method to find the volume. Reduce your answer to lowest terms.
Answers
GPT 3.5
Cube Method:
Since each cube is 15 inches on each side, the volume of one cube is 15 x 15 x 15 = 3375 cubic inches.
Since there are 4 cubes making up the rectangular prism, the total volume is 3375 x 4 = 13500 cubic inches.
Formula Method:
The formula for the volume of a rectangular prism is:
Volume = length x width x height
In this case, since the rectangular prism is made up of cubes, the length, width, and height are all the same (15 inches).
So, Volume = 15 x 15 x 15 = 3375 cubic inches.
Since there are 4 cubes making up the rectangular prism, the total volume is 3375 x 4 = 13500 cubic inches.
Therefore, the volume of the right rectangular prism made up of 4 cubes that are 15 inch on each side is 13500 cubic inches.
Since each cube is 15 inches on each side, the volume of one cube is 15 x 15 x 15 = 3375 cubic inches.
Since there are 4 cubes making up the rectangular prism, the total volume is 3375 x 4 = 13500 cubic inches.
Formula Method:
The formula for the volume of a rectangular prism is:
Volume = length x width x height
In this case, since the rectangular prism is made up of cubes, the length, width, and height are all the same (15 inches).
So, Volume = 15 x 15 x 15 = 3375 cubic inches.
Since there are 4 cubes making up the rectangular prism, the total volume is 3375 x 4 = 13500 cubic inches.
Therefore, the volume of the right rectangular prism made up of 4 cubes that are 15 inch on each side is 13500 cubic inches.
Hola
incorrect. The answer choices are: A. 4/5 cubic in B. 5/5= 1 cubic in C. 4/125 D. 4/25 cubic in
GPT 3.5
Apologies for the mistake in the previous response. Let's calculate the volume correctly:
Each cube has a volume of 15 x 15 x 15 = 3375 cubic inches.
The total volume of 4 cubes is 4 x 3375 = 13500 cubic inches.
To express this in lowest terms, we need to find the greatest common divisor (GCD) of 13500 and 1, which is 1 because 13500/1 = 13500.
So, the correct answer is B. 1 cubic inch in lowest terms.
Each cube has a volume of 15 x 15 x 15 = 3375 cubic inches.
The total volume of 4 cubes is 4 x 3375 = 13500 cubic inches.
To express this in lowest terms, we need to find the greatest common divisor (GCD) of 13500 and 1, which is 1 because 13500/1 = 13500.
So, the correct answer is B. 1 cubic inch in lowest terms.