What is the difference between a rectangular prism and a cylinder?
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What is the difference between a rectangular prism and a cylinder?
A cylinder consists of 2 flat ends and a curved surface while a prism contains two polygons for the two ends and the remaining are plain rectangular faces. A cylinder has 2 circular ends while a prism can have ends that are rectangular, triangular, regular or irregular polygon or pentagon.
Why are cylinders not prisms?
A prism is a polyhedron, which means all faces are flat! No curved sides. For example, a cylinder is not a prism, because it has curved sides.
Can a cylinder have the same volume as a rectangular prism?
The cylinder and the prism have the same cross-sectional area, πr2, at every level and the same height. By Cavalieri’s Principle, the prism and the cylinder have the same volume. The volume of the prism is V = Bh = πr2h, so the volume of the cylinder is also V = Bh = πr2h.
Why is a prism like a cylinder?
A prism is a solid with bases that are polygons and the sides are flat surfaces. If you imagine a prism with regular polygons for bases, as you increase the number of sides, the solid gets to look just like a cylinder. So we can say that a cylinder is a prism with an infinite number of faces.
What is the difference between a right rectangular prism and a rectangular prism?
A right rectangular prism has its side faces perpendicular to each of its bases. An oblique rectangular prism is a prism that is NOT a right rectangular prism and its side faces are parallelograms. In general, a rectangular prism without any specifications is a right rectangular prism.
How are prisms and cylinders alike draw and explain?
Solution: A prism is a polyhedron whose base and top are congruent polygons and whose other faces, i.e., lateral faces are flat in shape. (i) A prism and a cylinder are alike because it can be considered as a circular prism having a curved face. Thus the opposite faces are congruent and parallel.
If we use the formula for the volume of a prism, \begin{align*}V = Bh\end{align*}, we can find the volume of a cylinder. Also, like a prism, Cavalieri’s Principle holds. So, the volumes of an oblique cylinder and a right cylinder have the same formula. Example 6: Find the volume of the cylinder.