2TRIANGLES Right Equilateral Obtuse - all equal sides Isosceles Acute In regards to ANGLESRight-Has 1 right angleObtuse-Has 1 obtuse angleAcute-Has all acute anglesIn regards to SIDESEquilateral- all equal sidesIsosceles- 2 equal sidesScaleneNo equal sidesThe hypotenuse of a right triangle will never equal the length of one of the legs. The legs form the right angle.
3Volume Basic formula that works for anything: Number of cubic units in an object.Label =units3Basic formula that works for anything:Area of the Base x Height=Volume
4More 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 rectanglesA triangular prism has layers of trianglesA cylinder has layers of circles.
5Cube A 4 x 4 = 16 x 4 = 64 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 = 64A4 in
6Rectangular Prism 6 3 Draw the picture What type of base does a rectangular prism have?A rectangleFind the area of the rectangle;4 x 3 = 12How many layers of those rectangles are there?6Finish 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.634 in
7Cylinders Draw the picture. What type of base does it have? 6m10Draw the picture.What type of base does it have?Circle, find the area of it. A = 3.14 x R23.14 x 9 = 28.26How many layers of circles are there?10, find the volume.Area of the Base =3.14 x 9 = 28.26Times the height:28.26 x 10 = m3
8Triangular prism Draw the picture It takes layers of what shape the same size to make this?TrianglesFind the area of that triangle.3 x 4/2 = 6How many layers of triangles were there?10, now find the volume3510 m4Area of the base= 3x4/2=6Multiple by the H = 6 x 10 = 60 m3
9Volume 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 HeightNot L x W x H that only works for some things.