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 given by the formula V = lwh, where l is the length, w is the width, and h is the height.
Given that the volume is 1.5 in^3 and the product of the length and width is 1.5 in^2, we can set up the following equations:
1.5 = lwh
1.5 = lw
Since we are looking for the height, we can solve for the height in terms of l and w from the second equation:
w = 1.5/l
Now substitute this in the first equation:
1.5 = l(1.5/l)h
1.5 = 1.5h
h = 1
Therefore, the height of the prism is 1 inch.