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Geometry Review Part 2

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TRIANGLES In regards to ANGLES Right -Has 1 right angle Obtuse -Has 1 obtuse angle Acute -Has all acute angles In regards to SIDES Equilateral - all equal sides Isosceles - 2 equal sides Scalene –No equal sides The hypotenuse of a right triangle will never equal the length of one of the legs. The legs form the right angle.

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Volume Number of cubic units in an object. Label = units 3 Basic formula that works for anything: Area of the Base x Height=Volume

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More Volume information All of the bases of a geometric prism need to be the same exact size and shape until we study other shapes later. A cube has layers of squares. A rectangular prism has layers of rectangles A triangular prism has layers of triangles A cylinder has layers of circles.

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Cube 1.Draw the picture 2.What type of base does it have? 3.A square, find its area. 4.Are all the Layers the same? 5.How many Layers are there? 6.How do you finish the volume now? 7.4 x 4 = 16 x 4 = 64 4 in

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Rectangular Prism Draw the picture What type of base does a rectangular prism have? A rectangle Find the area of the rectangle; 4 x 3 = 12 How many layers of those rectangles are there? 6 Finish finding the volume now. 4 in 3 6 4 x 3 = 12 is the area of the base. Take 12 x 6 =72 that is multiplying by the height.

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Cylinders Draw the picture. What type of base does it have? Circle, find the area of it. A = 3.14 x R 2 3.14 x 9 = 28.26 How many layers of circles are there? 10, find the volume. 6m 10 Area of the Base = 3.14 x 9 = 28.26 Times the height: 28.26 x 10 = 282.6 m 3

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Triangular prism Draw the picture It takes layers of what shape the same size to make this? Triangles Find the area of that triangle. 3 x 4/2 = 6 How many layers of triangles were there? 10, now find the volume 3 4 10 m 5 Area of the base= 3x4/2=6 Multiple by the H = 6 x 10 = 60 m 3

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Volume Application Is volume used in everyday life? How is it used and who uses it? Let’s review: Volume is the Area of the Base x Height Not L x W x H that only works for some things.

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