If the volume of a rectangle prism is 945 cm 3, then what is the volume of the length x of the base?
To find the volume of the length x of the base, we need to first calculate the area of the base.
Given that the volume of the rectangle prism is 945 cm^3, and volume = area of base x height, then the area of the base can be calculated by dividing the volume by the height.
Let the height of the prism be h, and the area of the base be A. We have:
945 = A x h
However, we also know the formula for the volume of a rectangle prism, which is V = l x w x h, where l is the length of the base and w is the width of the base.
So, 945 = l x w x h
Given that the base is a rectangle, the area of the base is A = l x w
Therefore, A = 945/h
Since A = l x w, l = A/w.
So, l = (945/h) / w
And since w = x in this case, l = (945/h) / x
Therefore, the volume of the length x of the base is (945/h) / x cm^3.