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A water tank with vertical sides has a

horizontal base in the shape of a rectangle with semi-circular ends. The total inside length of the tank is 7 m, its width 4m and its height 2 m. Calculate:

(a) the surface area of the vertical walls of the

tank in m2?

(b) the area of the base in m2

(c) the number of liters of water in the tank when the depth of water is 1.56m

c. Compare and contrast all the methods (as well as CSSTP and CASTC). You may construct a table in order to help to compare and contrast the methods.

This question combines the concepts platonic solids, prisms, pyramids and polyhedra.

a) Are any Platonic solids pyramids? If so, which one(s)? Name the pyramid and explain why it is a pyramid (3).

b) Are any Platonic solids prisms? If so, which one(s)? Name the prism and explain why it is a prism (3).

c)  All Platonic solids are polyhedral. Is this statement true? Explain why you say so (2).

d) Name a non-polyhedron and say why it cannot be a platonic solid (2).

Describe van Hiele Level 1 (analysis), Level 2 (informal deduction) and Level 3 (deduction). Demonstrate the difference by using a scalene, isosceles and equilateral triangle as an example to explain learner thinking at the three different levels.

Level 1: Analysis (1)

How learner thinks about the triangles at Level 1: (3)

Level 2: Informal deduction (1)

How learner thinks about the triangles at Level 2: (3)

Level 3: Deduction (1)

How learner thinks about the triangles at Level 3: (3)

Sketch of scalene, isosceles and equilateral triangles (3)

Geometry

(a) Where in the world do we find some early evidence of geometry? (1)

(b) Approximately to what year does this evidence date back? (1)

(c) Give detail of how geometry was practiced in your example. (2)

(d) Where in the CAPS is this type of geometry covered as a topic? (1)

Direction find the changebin temperature use this symbol (°) to indicate degree

1.22° to 31°C

2. 46 °F to 8°F

3.18°C to 26°C

4.21°C to -11°C

5. 5°C to 41°C

triangle TAB is located at T(2,3), A(1,1) and B(4,-3). Plot the shape, reflect this over the y-axis, then translate the image by rule (x,y) to (x+2, y- 1). record the coordinates of the images in the provides spaces.

the base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral edge is 80 cm. Determine the total surface area of the prism in cm2

Show two diffrent rectangles which both have a perimeter of 18cm

How can the use of technology (calculators, computers and the internet) and media enhance the learning of school mathematics?

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