Square Rectangular Pipe Volume Calculation

What is the volume of a square rectangular pipe with sides of length a running parallel to the z-axis?

a) a³

b) a²

c) a

d) 2a

Answer:

The volume of a square rectangular pipe with sides of length a and running parallel to the z-axis is given by the cross-sectional area a squared, or a².

The question involves finding the volume of a square rectangular pipe that runs parallel to the z-axis and has sides of length a. The formula for the volume of a three-dimensional object with parallel sides is V = Ah, where V is volume, A is the cross-sectional area, and h is the height. Given that the pipe’s cross-sectional area is a square with a side of length a, the area A will be a squared, or a².

If the pipe runs along the z-axis indefinitely, it would be considered to have infinite length (height), but for our purposes of comparing against provided options, we will ignore the height variable, since it isn't provided in the problem statement. The correct answer is (b) a², representing the cross-sectional area, which in the case of indefinite length, is effectively the 'volume' for comparison.