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 3 - D shape formation

When a rectangle is rotated about an axis that bisects its length, a cylinder is formed.

Step2: Identify radius and height

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

Answer:

D. cylinder, radius = 6 in., height = 5 in