Suppose rectangle ABCD with A(0, 0), B(0, 8), C(5, 8), D(5, 0) is rotated about side AB¯¯¯¯¯¯¯¯ . Identify the three-dimensional object formed.(1 point) Responses a cylinder with a height of 8 and diameter of 10 units a cylinder with a height of 8 and diameter of 10 units a cylinder with a height of 10 and diameter of 8 units a cylinder with a height of 10 and diameter of 8 units a cylinder with a height of 8 and diameter of 5 units a cylinder with a height of 8 and diameter of 5 units a rectangle with a height of 8 and length of 10 units

Question

GPT-4o mini · Answer

When rectangle ABCD is rotated about side AB, the formed three-dimensional object is a cylinder.

Here's the reasoning:

The height of the cylinder is the same as the height of rectangle ABCD, which is the vertical distance between points A and B. So, the height is 8 units.
The diameter of the cylinder corresponds to the horizontal distance from D to C, which is the width of the rectangle. The width (or horizontal distance) from D to C is 5 units.

Thus, the correct identification of the three-dimensional object formed is a cylinder with a height of 8 units and a diameter of 5 units.

So the correct choice is: a cylinder with a height of 8 and diameter of 5 units.