Math

• Solid Figures - are three-dimensional figures that have length, width, & height
• What does three-dimensional mean?

  Length, width, & height
• Polyhedrons - is a solid figure whose sides are all polygons
• Each side is called face
• Two faces that intersect in a line is called an edge
• Two edges that intersect are called a vertex.
• Prism is a polyhedron
• A prism that has two congruent parallel faces are called bases
• Triangular Prism - composed of 2 triangular bases and 3 rectangular lateral faces
• Rectangular Prism - composed of 2 rectangular bases and 4 rectangular lateral faces
• Cube - a prism with 2 square bases
• Pentagol Prism - has 2 pentagonal bases and 5 rectangular lateral faces
• Triangular Pyramid - has 1 triangular bases and 3 triangular lateral faces
• Rectangular Pyramid - has 1 rectangular base and 4 triangular lateral faces
• Square Pyramid - has 1 square base and 4 triangular lateral faces
• Cylinder - has 2 circular bases that are angruent and parallel
• Cone - has 1 circular base
• Sphere - is a curved surface of points that are all of the same distance from the center
• Plane figures - A figure that is flat and has no thickness.
• Solid figures - 3D figures that are not flat, but have a three-dimensional shape.
• Rectangle - is a plane closed figure enclosed by 4 line segments
• Square - is a plane closed figure enclosed by four equal line segments
• Circle - a plane closed figure enclosed by a curve, having no sides and no corner
• Triangle - is a plane closed figure enclosed by three line-segments
• Polygons are also called plane figures
• Non-polyhedron are curved surfaces like cone, cylinder, & sphere
• Coefficient


  Constant value used with a variable
• Constant


  Fixed value that does not change
• Composite Figures


  Figures made up of several simple geometric figures
• Area


  The number of square units needed to cover the surface of a plane figure
• Surface Area


  The sum of all lateral faces and bases of a solid figure
• Net


  A flat pattern that can be folded to form a solid figure
• Triangular Prism


  SA = ½ b x h + L x W 1 + L x W (2)
• Cube


  SA = 6s²
• Rectangular prism


  SA = 2 (top x bottom) + 2 ( left x right) + 2 (front x back)
• Rectangular pyramid


  SA = s x s + ½ b x h (4)
• Cylinder


  SA = 2(3.14)r² + 2(3.14)rh
• Cone


  SA = (3.14)r² + (3.14)rs
• Sequence


  An = A1 + d (n-1)
• A basket of fruits has bananas and magoes. The bananas are 3 times rhe number of mangoes. There are 20 fruits in all. What will be the equation?

  3x + x = 20