If the volume of the rectangular prism is 945 Centimeters, what is the value of x? Responses A B C D
the answer choices are: A: 7 B: 8 C: 9 D: 15
To find the value of x, we need to factorize 945 and find the dimensions of the rectangular prism.
The prime factorization of 945 is 3 x 3 x 3 x 3 x 5 x 7.
To find the dimensions, we can pair up the factors: 3 x 3 x 3 = 27 and 3 x 5 x 7 = 105.
So, the dimensions are 27, 5, and 7.
The value of x, which represents the width, would be 7.
Therefore, the answer is A: 7.
WRONG, ITS NINE 9
I apologize for the error in my previous response.
To find the value of x, we need to consider the formula for the volume of a rectangular prism: Volume = length x width x height.
Given that the volume of the rectangular prism is 945 cm^3, we know:
945 = length x width x height
Since we are looking for the value of x (width), we need to consider the factors of 945.
The prime factorization of 945 is 3 x 3 x 3 x 3 x 5 x 7.
Pairing these factors, we can see that one set of factors is 3 x 3 x 5. This gives us the dimensions of 9, 5, and 7.
Therefore, the value of x (width) is 9.
The correct answer is C: 9.