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?(1 point)
The volume of a rectangular prism is equal to the product of its length, width, and height. We are given that the volume is 1.5 in^3 and the product of the length and width is 1.5 in^2.
Let the length be L, width be W, and height be H.
We have the equations:
L x W x H = 1.5
L x W = 1.5
From the second equation, we can express one variable in terms of the other:
W = 1.5 / L
Plugging this into the first equation, we get:
L x (1.5 / L) x H = 1.5
1.5H = 1.5
H = 1.5 / 1.5
H = 1
Therefore, the height of the prism is 1 inch.