Modulus 2 - Geometry

[dinosaur93]

Head Start Kickoff 

Could anyone pls help me in determining the Area of the following composite figures:



Total Surface Area
Calculate the TSA for the object given in the diagram
1.

2.


3. What is the total surface area of canvas needed for the tenet shown in the diagram below?


4. A cook from baker's delight would like to bake a most suitable loaf of bread that would last longer than normal. He was given 2 different shape for loaf of bread and was ask to determine which one will stay fresher. The cook knows that the shape with the smallest surface area stays freshest. The 2 given shapes were a rectangular prism with a 12 cm square base and a cylinder with a round end that has a 14 cm diameter.

a. Which shape will stay fresher given that they have similar overall length of 32cm

b. In order to recycle the unwanted bread, the cook is also ask to calculate the difference between the TSA of the two loafs of bread...

[Croc]

You're up to module 2 already? How keen are you?

[b^3]

I'm not going to do this for you, but will help you with the steps involved in the procedure.
1) Split it up into a trapezium and a parallelogram.
Area of a Trapezium =
Area of a parallelogram = bh (b=16, h=8)
2) Draw out the nets so that you can find what surfaces you have.
e.g. in the first one there is two rectangles of 15*4, two rectangles of 10*15 and two parralelograms of base 10 cm and height 4 cm.
Find the areas and add them up for the TSA.
For the other one there is two trapeziums of a=13.5, b=20 and h=10.5 (remember a and b are the parallel sides), then four different rectangles that you should be able to work out.
3. Similar deal to the above, but split that front face up into an issoceles triangle (i.e. two right angled triangles) and a square.
4. First find the surface area of each of the shapes.
Rectangular prism with square base 12*12cm
TSA = 2(12*12)+2(12*L)+2(12*L)
L=32cm, sub it in
Cylinder,
TSA= Two round ends plus curved surface (draw the net) =
r=d/2=7cm
The smallest one will stay fresher longer
b. minus the smallest from the largest.

[Stick]

You have the same book as me!!! I just did those questions for headstart!


In my opinion though, this textbook has too many simple questions and doesn't give you the standard of material found in the end of year examinations. Hoping it gets us through though!