If the volume of a right rectangular prism is 1.5 in.3 and its length and width have a product of 1.5 in.2 , what is the height of this prism?
Let's call the length of the prism l, the width w, and the height h.
Given:
Volume = 1.5 in^3
l * w = 1.5 in^2
We know that the volume of a rectangular prism is given by the formula:
Volume = l * w * h
From the given information, we can create the following equation:
1.5 = 1.5 * h
Solving for h:
h = 1.5 / 1.5
h = 1 in
Therefore, the height of the prism is 1 inch.