Image Copyright 2013 by Passy’s World of Mathematics From the above Net, we can see that a Rectangular Prism is made of 3 pairs of Rectangles, which creates a Net containing a total of six rectangles. where A is the surface area, r is the radius of the circle and h is the height of the cylinder. One method of calculating the TSA (Total Surface Area) is to unfold a 3D shape, into its flat 2D net which the shape is made from. \ QuestionĬalculate the total surface area of the cylinder. The surface area of a closed cylinder is: A 2 r ( r h) The surface area of an open-top cylinder is: A r ( r 2 h) The surface area of an open cylinder (or tube) is: A 2 r h. Thus, the area of this rectangle (l × b) is 2r × h 2rh which is also the curved surface area of the cylinder. What are the areas of the cubes drawn below Make sure you write the units. In the rectangle, one side is the height of the cylinder h, while the length of this rectangle is the circumference of the circle, that is, 2r. A can, a pencil, a book, a glass prism, etc., are examples of cylinders. To find the volume or surface area of a cylinder, calculate it in the same way you would a prism.įor a cylinder of height \(h\) with radius \(r\), the volume of a cylinder can be calculated using the formula: Volume and Surface Area of Rectangular Prisms and Cylinders Remember, the volume of a shape is how many cubic units you can fit inside it. The area of the rectangular face is determined by multiplying the circumference of the base circle (length of the rectangle) by the height of the cylinder (. The cross section may be a circle, a triangle, a square, a rectangle or a polygon. A cylinder is a 3D shape with a circular cross-section and a curved surface.
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