If the volume of the rectangular prism is 945 cm^3, what is the value of x?
To find the value of x, we need to know the dimensions of the rectangular prism. The volume of a rectangular prism is calculated using the formula V = l * w * h, where l is the length, w is the width, and h is the height.
Given that the volume of the rectangular prism is 945 cm^3, we need to find the possible dimensions that can multiply together to give us 945.
We can factorize 945 to find the possible dimensions:
945 = 3 * 3 * 3 * 5 * 7
From the factorization, we see that the possible dimensions could be:
Length (l) = 3 * 3 * 5 = 45 cm
Width (w) = 3 cm
Height (h) = 7 cm
Now, let's check if these dimensions meet the condition of V = l * w * h = 945
945 = 45 * 3 * 7 = 945
Therefore, the value of x is 45 cm.