Aim : How do you find the surface area and volume of a sphere ?

Definition of a Sphere -
a sphere is the set of all points in space equidistant from a given point called the center .

Formula for the Surface Area of a Sphere :
SA= 4 pi r squared

Formula for the Volume of a Sphere :
V= 4/3 n r cubed

Aim : How do we find the volume of pyramids and cones ?

Formula for Volume of a Pyramid :
V= 1/3Bh ( where B is the area of the base )

Formula for the Volume of a Cone :
V= 1/3Bh ( where B is the area of the base )

Aim : How do we find the surface area and lateral area of pyramids and cones ?

A pyramid is a solid that connects a polygon base to a point.

Aim : How do we find surface area and lateral area of prisms and cylinders ?

Formula for Surface Area of a Prism :
 LxWx2 + LxHx2 + WxHx2
( L meaning length ; W meaning Width ; H meaning Height )

Formula for Surface Area of a Cylinder :
2(pi r squared) + (2 pi r) H

Aim : How do we identify solids ?

Solid Geometry is the geometry of 3-dimensional space.
involves width , height and length.
Volume( think how much water can fit! )
Surface Area  ( space around it )

Two Main Types .

Polyhedra - must have flat faces, polygons.
includes- prisms , platonics , pyramids etc .

Non Polyhedra - any surface with no flat surface
includes- spheres , cylinders , torus , cones .

Aim : How do we find the area of a circle ?

A is the area and R is the radius  .
Area is  - A =pieRsquared

Aim: How do we calculate the area of rectangles and triangles ?

Triangle Area Conjecture - the area of a triangle is given by the formula , where A is the area , B is the length of the base and H is the height of a triangle.