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 right rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height.
We are given that the volume of the prism is 1.5 in^3, so we have:
1.5 = lwh
We are also given that the product of the length and width is 1.5 in^2, so we have:
lw = 1.5
We can rearrange the second equation to solve for either length or width:
l = 1.5/w
Now we substitute this into the first equation:
1.5 = (1.5/w)wh
1.5 = 1.5h
h = 1
Therefore, the height of the prism is 1 inch.