Question

If the volume of the right triangle prism is 1.5 in^3 and it's length and width have the product of 1.5 in^2 what is the height of the prism

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the height of the prism, we need to use the formula for the volume of a right triangle prism:

Volume = (1/2) * base area * height

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, we can express the base area as:

Base area = length * width
Base area = 1.5/width * width
Base area = 1.5 in^2

Now we can substitute the values into the volume formula:

1.5 = (1/2) * 1.5 * height

Solving for height:

1.5 = (3/2) * height
height = 1.5 / (3/2)
height = 1

Therefore, the height of the prism is 1 inch.