Question

what solid will be produced if rectangle abcd is rotated around line m? assume that the line bisects both sides it intersects. what will the dimensions of the three - dimensional solid be? rectangular prism; length = 12 in.; width = 6 in.; height = 5 in. triangular prism; length = 12 in.; width = 6 in.; height = 5 in. cylinder, radius = 12 in.; height = 5 in. cylinder, radius = 6 in.; height = 5 in.

Explanation:

Step1: Recall the shape formed by rotation

When a rectangle is rotated around a line, a cylinder is formed.

Step2: Determine the radius and height

The distance from the line \(m\) to side \(AB\) (or \(CD\)) is \(6\) inches, so the radius \(r = 6\) inches. The height of the rectangle (which becomes the height of the cylinder) is \(h=5\) inches.

Answer:

cylinder, radius \( = 6\) in., height \( = 5\) in.