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?
To find the height of the prism, we first need to find the length and width. Let's denote the length as L, width as W, and height as H.
Given:
Volume = 1.5 in^3
Length * Width = 1.5 in^2
From the formula for the volume of a rectangular prism, we have:
Volume = Length * Width * Height
1.5 = 1.5 * H
H = 1
Now, we can substitute the value of height back into the equation for length and width:
1.5 = 1.5 * 1
1.5 = 1.5
So, the height of the prism is 1 inch.