Question

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

Answer 1

Let's call the length of the rectangular prism "l", the width "w", and the height "h". We know that the volume of the prism is 1.5 cubic inches, so:

V = lwh = 1.5

We also know that the product of the length and width is 1.5 square inches, so:

lw = 1.5

We can solve for one of the variables in terms of the other two by rearranging these equations. Let's solve for "h" in terms of "l" and "w":

h = V/lw = 1.5/(lw)

Now we can substitute the given value for lw:

h = 1.5/(1.5) = 1 inch

So the height of the right rectangular prism is 1 inch.