Algebra and functions notes
Here are a few notes that are useful when working with algebraic expressions and functions. Remember you simplify an expression by collecting like terms You can also simplify expressions by using rules of indices (powers) [IMAGE] [IMAGE] [IMAGE] To expand [...]
Surface area of Triangular based prism
This triangular based prism shown above has a triangle base. The area of this triangular base s ½ bxh and the perimeter of this triangular base is s1, s2, s3. Just add all the sides of the shape to find [...]
Surface of Circular based Prism
Here we have a circular based prism; It’s as though the prism has been extruded from the circle below the prism and that’s the general idea behind the prism surface area. The area of the base is πr2 and the [...]
Surface area of square based pyramid
The following image shows a square based pyramid with labels. Deriving the Surface Area (SA) Let’s try to derive/prove the surface area pyramid above. It’s actually very simple. At the bottom of this pyramid we have a square. We have [...]
Area of a circle sector
The following image shows a sector in a circle. We can work out the area of a sector by relying on the fraction and percentage of the angle of the sector to the 360o degree angle of the circle. We [...]
Length of an Arc formula
A sector of a circle is a pie shaped region bounded by an arc and angle at the centre of the circle. Below the sector of the circle has been shown. And the formula to find the length of an [...]
Surface area of Prisms
There are many types of solid prisms. A prism is a solid shape with a uniform cross section. Below we shall be exploring these examples. Rectangular based prisms This is how you find the surface area of a rectangular based [...]
Volume of cone
The following shows the shape of a cone; The volume of a cone is given by the following formula;
Surface area of cone
The following is the shape of a cone; Here you will need to calculate the surface area of the cone and the base, and then add them together. The area of the cone is πrs and the area of the [...]
Surface area of Sphere
The following image shows a shape of a sphere. The surface are of a sphere shape object is given by; It’s that simple.