If the volume of a right rectangular prism is 1.5 in ands its length and width have a product of 1.5. What is the height of the prism?
To find the height of the prism, we can use the formula for the volume of a rectangular prism: V = lwh, where l is the length, w is the width, and h is the height.
Given that the volume is 1.5 in^3 and the product of the length and width is also 1.5, we can write:
1.5 = lwh
We are also given that lw = 1.5, so we can substitute this into the equation:
1.5 = 1.5h
Now we can solve for h:
h = 1.5 / 1.5
h = 1
Therefore, the height of the prism is 1 inch.