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Geometry Review

Geometry Review. Part 2. 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. TRIANGLES.

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Geometry Review

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  1. Geometry Review Part 2

  2. 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 TRIANGLES • The hypotenuse of a right triangle will never equal the length of one of the legs. The legs form the right angle.

  3. Volume • Number of cubic units in an object. • Label = units3 • Basic formulathat works for anything: Area of the Base x Height=Volume

  4. 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.

  5. Cube • 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? • 4 x 4 = 16 x 4 = 64 A 4 in

  6. Rectangular Prism 4 x 3 = 12 is the area of the base. Take 12 x 6 =72 that is multiplying by the height. • 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. 6 3 4 in

  7. 6m 10 Cylinders • 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 • How many layers of circles are there? • 10, find the volume. Area of the Base = 3.14 x 9 = 28.26 Times the height: 28.26 x 10 = 282.6 m3

  8. 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 10 m 4 Area of the base= 3x4/2=6 Multiple by the H = 6 x 10 = 60 m3

  9. 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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