if the volume of a right rectangular prism is 7 in3 (The in has 3 over top of it) and its length and width have a product of 3.5 in2 (the in has 2 over top of it), what is the height of this prism.

Answer 1

Let's denote the length, width, and height of the prism as L, W, and H respectively.

Given that the volume of the prism is 7 in^3, we have the equation:

V = L * W * H = 7

Also, it is given that the product of length and width is 3.5 in^2:

L * W = 3.5

We need to find the height of the prism, which is H. We can substitute the value of the product of length and width into the volume equation:

3.5 * H = 7

This simplifies to:

H = 7 / 3.5 = 2

Therefore, the height of the prism is 2 inches.