What is Surface Area?



Surface Area and Volume Warm-UpFind the area of the region indicated.4686300307975What is Surface Area?Surface area is the total area of all faces and curved surfaces of a three-dimensional figure. For example, if you wanted to wrap a friend’s present for her birthday, you would have to know how much wrapping paper to buy. Since the wrapping paper covers only the outside of the box, you would need to know how the total area of the six faces of the box to determine how much paper you would need to buy.Surface Area of Rectangular PrismsThe surface area of a right rectangular prism with length ?, width w, and height h can be written asS = 2?w + 2wh + 2?hExample #1Find the surface area of the right rectangular prism. 5715048895PracticeFind the surface area of each figure.2876550635Find the surface area of a rectangular prism with length 10 in, width 6 in, and height 4 in.Surface Area of Cylinders3248025686435A cylinder is made up of two parallel circular bases and a curved surface connecting them, like a can. If we open up the cylinder, we can see that the curved surface is really a rectangle whose width was the height (h) of the cylinder and whose width was the circumference (2πr) of the circle. The area of the rectangle alone is:A=lw= 2πr?h= 2πrh The area of the two circles is:2 (Area of a circle) = 2πr2Thus the total surface area of a cylinder is given by:ExamplesFind the surface area of the cylinder below. Express answer in terms of π and to the nearest tenth.4762547625PracticeFind the surface area of each cylinder. Express answer in terms of π and to the nearest tenth.37338003175 Find the surface area of a cylinder with radius 4 inches and height 3 inches. Leave your answer in terms of π.4429125123825Volume of Prisms and CylindersThe volume of a three-dimensional figure is the number of unit cubes that will exactly fill the interior. For this reason, volume, unlike surface area, is measured in cubic units (units3). Volume of a Rectangular Prism752475433070V=lwhVolume of a Cylinder71310533020Examples4248150127000a) Find the volume of the rectangular prism at right.b) the volume of a cylinder with radius 4 feet and height 15 feet.4762509525PracticeFind the volume of each figure. Round answer to the nearest tenth where appropriate.3609975127000-8572597155Smarty-QFind the volume of the figure below to the nearest tenth:-85725134620HomeworkFind the volume and the surface area of each figure. Express answer in terms of π and to the nearest tenth.-47625154305Surface Area: __________________________Volume: ______________________________Surface Area: __________________________Volume: ______________________________19050-878205190500Surface Area: __________________________Volume: ______________________________1905074295Surface Area: __________________________Volume: ______________________________Problem Solving-1428751231901905033020 ................
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