Question

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?

Answer 1

To find the height of the prism, you need to use the formula for the volume of a rectangular prism. In this case, the height of the prism is 1 inch.

Step-by-step explanation:

To find the height of the prism, we need to use the formula for the volume of a rectangular prism, which is given by:

Volume = Length x Width x Height

In this case, we are given that the volume is 1.5 in.³ and the product of the length and width is 1.5 in.².

Let's assume the length is L, the width is W, and the height is H.

So, we have the equations:
Volume = L x W x H (equation 1)
L x W = 1.5 (equation 2)

Substituting equation 2 into equation 1, we get:
1.5 = 1.5 x H

Simlifying the equation, we find:
H = 1.5 / 1.5 = 1 inch

Therefore, the height of the prism is 1 inch.