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) in.
The volume of a right rectangular prism is given by the formula V = L x W x H, 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 1.5 in^2, we can set up the following equations:
1.5 = L x W x H
1.5 = L x W
From the second equation, we can solve for either the length or width in terms of the other variable:
W = 1.5 / L
L = 1.5 / W
Substitute this into the first equation:
1.5 = (1.5 / W) x W x H
1.5 = 1.5H
Divide both sides by 1.5:
H = 1 in.
Therefore, the height of the right rectangular prism is 1 inch.