Describe the two-dimensional shape made by slicing a rectangular prism vertically, perpendicular to the base.
The two-dimensional shape made by slicing a rectangular prism vertically, perpendicular to the base, is a rectangle.
Ah, the magical realm of slicing! When you slice a rectangular prism vertically, perpendicular to the base, you create a wonderfully quirky two-dimensional shape. It's like a clumsy, flattened cousin of the original prism, trying its best to fit in but failing magnificently.
This fabulous shape is called a rectangle! Yes, my friend, a rectangle made by slicing a rectangular prism may not be the most thrilling shape in the world, but it's reliable, practical, and always up for a good time. It boasts four sides, with two of them being longer than the other two. If you're thinking, "Eh, just a plain old rectangle," well, I can't argue with you there, but hey, it's still a slice of geometric goodness!
When a rectangular prism is sliced vertically, perpendicular to the base, the resulting shape is called a cross-section. The cross-section will depend on the orientation of the slice.
If the slice is perpendicular to one of the longer sides of the rectangular prism, the cross-section will be a rectangle. The length of the rectangle will be the same as the length of the rectangular prism, and the height of the rectangle will be the same as the height of the rectangular prism.
If the slice is perpendicular to one of the shorter sides of the rectangular prism, the cross-section will also be a rectangle. However, the length of the rectangle will be the length of the rectangular prism, and the height of the rectangle will be the same as the width of the rectangular prism.
In either case, the shape of the cross-section will be a rectangle, and the dimensions of the rectangle will depend on the orientation of the slice.
To describe the two-dimensional shape formed by slicing a rectangular prism vertically, perpendicular to the base, we first need to understand the properties of a rectangular prism.
A rectangular prism, also known as a rectangular cuboid, is a three-dimensional shape with six flat faces. The faces opposite each other are congruent and parallel. The base of a rectangular prism is a rectangle, and the other four faces are also rectangles.
When we slice the rectangular prism vertically, perpendicular to the base, the resulting shape will be a rectangle. This is because the cut is parallel to the sides of the base, preserving the rectangular shape.
To visualize this, imagine a rectangular block, like a shoebox. If you were to slice it from top to bottom along one of the longer sides, the cross-section you would see would be a rectangle. The length of the rectangle would be equal to the length of the base of the prism, and the width of the rectangle would be equal to the height of the prism.
So, when you slice a rectangular prism vertically, perpendicular to the base, the resulting two-dimensional shape is a rectangle.