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Geometry Review Part 2 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. Volume • Number of cubic units in an object. • Label = units3 • Basic formula that works for anything: Area of the Base x Height=Volume 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. Cube 1. 2. 3. 4. 5. 6. Draw the picture What type of base does it have? A square, find its area. Are all the Layers the same? How many Layers are there? How do you finish the volume now? 7. 4 x 4 = 16 x 4 = 64 4 in • • • • • • • • 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 x 3 = 12 is the area of the base. Take 12 x 6 =72 that is multiplying by the height. 6 4 in 3 Cylinders 6m • Draw the picture. • What type of base does it have? • Circle, find the area of it. A = 3.14 x R2 • 3.14 x 9 = 28.26 Area of the Base = • How many layers of 3.14 x 9 = 28.26 circles are there? • 10, find the volume. Times the height: 28.26 x 10 = 282.6 m3 10 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 5 4 10 m Area of the base= 3x4/2=6 Multiple by the H = 6 x 10 = 60 m3 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.