Question

In the rectangular prism above, AB = 23 units, DH = 8 units, and GF = 10 units. If the rectangular prism is divided into two parts by a plane parallel to face ABCD, which of the following best describes the resulting cross-section of the prism? A. a rectangle with a length of 23 units and a width of 10 units B. a square with side lengths of 23 units C. a rectangle with a length of 10 units and a width of 8 units D. a rectangle with a length of 23 units and a width of 8 units

Answer 1

a rectangle with a length of 23 units and a width of 9 units

Explanation:

The cross-section created by the plane is a rectangle with a length equal to AB, or 23 units. The width of the cross-section is equal to GF, or 9 units. Therefore, if the rectangular prism is divided into two parts by a plane parallel to face ABCD, the resulting cross-section will be a rectangle with a length of 23 units and a width of 9 units.

Answer 2

A. a rectangle with a length of 23 units and a width of 10 units

Explanation:

Since the cross section is parallel to ABCD, it will look exactly like ABCD