Question

PLEASE HELP 17 POINTS!

1. A slice is being made to a cube. For each slice—
• Describe the two-dimensional figure resulting from the described slice. Use the specific name when possible.
• Determine whether a different slice can produce a congruent two-dimensional figure. If so, describe or sketch an example of the slice. If not, explain why not.

(a) a slice parallel to the base
(b) a slice that contains and
(c) a slice that contains and vertex F

Answer 1

(a.) A slice parallel to the base would result in two rectangular prisms, as opposed to a cube now. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle.

(b) A slice that contains and AE and DH will make a slanted cube, meaning it will turn into a cubic pyramid.

(c.) A slice that will contain and vertex F will make the cut the figure in half going slanted. They will technically be congruent, although there is no name for this figure.