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)

1 answer

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.

We are 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.

Since V = 1.5 in^3, we can write:

1.5 = lwh

We are also given that lw = 1.5 in^2, so we can substitute this into the equation above:

1.5 = 1.5h
h = 1.5 / 1.5
h = 1

Therefore, the height of the prism is 1 inch.