2. Area and Volume of Solids

Jamie McLardy
Mind Map by , created almost 6 years ago

Area and Volume of Solids Mind Map Exercise

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Jamie McLardy
Created by Jamie McLardy almost 6 years ago
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2. Area and Volume of Solids
1 Area of Triangles
1.1 Area = 1/2 b x h
1.1.1 h = The Hight of the Triangle = the distance between the top and bottom of the middle.
1.1.1.1 Can be called Altitude
1.1.2 b = The Width of the Triangle = the distance between the left and right corners of the bottom side.
1.2 The Area of a Triangle is basically the Width x Hight, and that would be devided by a half.
2 Area of a Parallelogram Area = b x h
3 Area of a Rhombus and Kite Area = 1/2 (b x h)
4 Area of a Trapezium
4.1 First off you would devide your Trapezium into two Triangles, making sure that the deviding line goes from the bottom left corner to the top right corner. Then you would use the Triangles Are Formulae
4.2 Triangle 1 Area = 1/2 (a x h)
4.2.1 A being the width for that Triangle.
4.3 Triangle 2 Area = 1/2 (b x h)
4.3.1 B being the width for that Triangle.
4.4 And to bring it all together to work out the area of the Original Trapezium, you just ass both of the answers together
4.4.1 Or you can just use the Formula
4.4.1.1 Trapezium Area = 1/2 (a+b) x h
4.4.1.1.1 A being the Width for Triangle 1
4.4.1.1.2 B being the Width for Triangle 2
5 Composite Areas
5.1 When it comes to the Area of Composite Shapes (Shapes that are not a set shape like a Square and are made up of 2 or more shapes)
5.1.1 The best bet would be to simpily break up the Composite Shape into the different base shapes, and then work out the Area by finding the Area of EACH shape and adding them all together.
6 Area of Squares
6.1 Area = b x h
6.2 Simple really..
7 Volume of Solids
7.1 Volume = Area of Cross Section x Length
7.2 Find the AREA of the shape and times that by the length of the Object, assuming that it is the same shape all the way down/across
8 Surface Area
8.1 The SURFACE area of lets say a cuboid is just simply the area of all the sides added together.
8.2 The Net for a cuboid is just each side's area, but placed down as if you were going to glue each side together to make a 3D object.

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