If the volume of a right rectangular prism is 1.5 in. and its length and width have a product of 1.5 in.?, what is the height of this prism?

Answer 1

Let the length of the prism be L, the width be W, and the height be H.

Given that the volume of the prism is 1.5 in^3, we have:

V = L x W x H = 1.5

Given that the product of the length and width is 1.5 in^2, we have:

L x W = 1.5

Now we have a system of two equations:

1) L x W x H = 1.5
2) L x W = 1.5

We can substitute L x W from equation 2 into equation 1 to solve for H:

(1.5) x H = 1.5
H = 1.5 / 1.5
H = 1

Therefore, the height of the prism is 1 inch.