If the volume of a right rectangular prism is 1.5in cubic and its length and with have a product of 1.5in cubic what is the height of the prism
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.
Given that the volume of the prism is 1.5 in^3 and the product of the length and width is also 1.5 in^3, we can write the following equations:
1.5 = lwh
1.5 = lw
Since the product of the length and width is given as 1.5, we can express one variable in terms of the other:
w = 1.5/l
Substitute this into 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.