Video: Identifying Relationships between Two-Dimensional and Three-Dimensional Objects

If the solid seen in the given figure is sliced vertically, which of the following two-dimensional cross sections can result from that?

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Video Transcript

If the solid seen in the given figure is sliced vertically, which of the following two-dimensional cross sections can result from that?

The 3D solid shown is a cuboid. It is also sometimes known as a rectangular prism. And we know that when any prism is sliced vertically or horizontally, the cross action will remain the same. We can slice the solid vertically as shown in pink. This creates the same shape as the front of the prism. As the front of the prism is a rectangle, the correct answer is option A, the rectangle. The two-dimensional cross section will not be a circle, triangle, or hexagon but will be a rectangle.

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