from household products to geometry figures

Cylinder:

  A cylinder is a non-polyhedral or a three dimensional figure that doesn't have a surface that is flat due to the fact that it's surfaces are curved.  Both bases are parallel and congruent and are circles rather than polygons.

Formula's for a cylinder: 

Area of base: 2(pie)r(radius)^2, Lateral Area: 2(pie)r(radius)h(height),  Surface Area: L.A(lateral Area)+2B(area of base(s)),

 Trapezoidal prism

A trapezoidal prism is a six faced three dimensional prism that has six faces which consists of two trapezoids and four rectangles and is also a polyhedra or three dimensional figure with a flat face.

Formula's for a trapezoidal prism: 

Area of Base: B1+B2/2(h), Lateral Area: p(perimeter)h, Surface Area: L.A+2B.

Sphere

 

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance (the "radius") from a given point (the"center"). Twice the radius is called the diameter, and pairs of points on the sphere on opposite sides of a diameter are called antipodes . A sphere is also a non-polyherdra as well. 

Sphere's formula's:

Surface Area

, formula for the radius:

Square prism

A square prism is a three dimensional polyhedra with six congruent faces, faces that join along their edges or line segment were two edges meet and vertex's meet as well or point where three edges meet, a square prism has eight vertices.

Square prism's formula's:

Area of Base: s^2,Lateral Area: ph, Surface Area: L.A+2B

Rectangular Prism

A rectangular prism is a six sided three dimensional polyhedra a figure that has six rectangles, this is known as a prism because it has the same cross section along this figure.

Rectangular prism's formula's:

Area of base: B(base)*h, Lateral Area: ph, Surface Area: L.A. +2B or 2lw+2lh+2hw(l:length.w:width,and h:height)