"A rectangular prism has a height of 3 inches and a volume of 27 cubic inches. The height of this prism is changed to 6 inches, and the other dimensions stay the same. What is the volume of the prism with this change?"

Step-by-step explanation:

We have been given that a rectangular prism has a height of 3 inches and a volume of 27 cubic inches.

We know that volume of rectangular prism is length times width times height.

Since height of the prism is changed to 6 inches and other dimensions stay the same, so volume of prism with change would be 6 times product of length and width.

Therefore, the volume of prism with change would be 54 cubic inches.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.