If the volume of a right rectangular prism is 1.5 in cubed and it's length and width have a product of 1.5 in squared what is the height of this prism?
To find the height of the prism, we first need to find the length and width of the prism.
Let the length of the prism be L, the width be W, and the height be H. We are given that the volume of the prism is 1.5 in^3, so we have:
Volume = Length x Width x Height
1.5 = L x W x H
We are also given that the length and width have a product of 1.5 in^2, so we have:
L x W = 1.5 in^2
We can rewrite this equation as:
W = 1.5 / L
Now substitute this expression for W into the volume equation:
1.5 = L x (1.5 / L) x H
1.5 = 1.5H
Now we can solve for H:
H = 1.5 / 1.5
H = 1 in
Therefore, the height of the prism is 1 inch.