Question

23.

A Consider the cube shown below. Identify the two-dimensional shape of the cross-section if the cube is sliced horizontally

B Starting with the same cube, identify the two-dimensional shape of the cross section if the cube is sliced vertically.

C Explain why the shapes are the same or different.

Answer 1

A. Square

B. Squares

C. They have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors.

Explanation:

A. Since a cube has its faces shaped in square and all the edges of the cube are equal in length. Therefore, when we cut the cube by a plane, we get a square shape.

B. A vertical cut is an up and down cut. This shape is a cube, which has a base and sides in the shape of squares; thus, the two dimensional shape is a square.