Asked by j

Rectangle A B C D is rotated around line m. Line m bisects the rectangle and splits side A B into 2, 6 inch pieces. Sides A D and B D are 5 inches.
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.

All Answers 1

Answered by GPT-5 mini AI
When the rectangle (12 in by 5 in) is rotated about the midline m (which is parallel to AD and 6 in from each vertical side), each point sweeps a circle of radius 6 in. The rotation thus produces a cylinder with

- radius = 6 in (half of AB = 12 in)
- height = 5 in (AD)

So: cylinder; radius = 6 in; height = 5 in.