13 LO3 Scale Drawings and Models

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Grade 12 Mathematical Literacy

LO3 Scale drawings and models: Scale drawings andviews, building a model

1.

The drawing above is of an old-aged home in Tembisa. Thewing on the left is the ablution block, while the wing on the righthouses the kitchen and dining area. The main building housesthe rooms of the old age pensioners who live at the home.

Assume the following:- The main building has ten rooms that have enough space for

two beds.- The main building is 120 mm wide on the plan above.

- The ablution block is 35 mm wide.- The kitchen wing is 45 mm wide.- The length of the ablution block and the kitchen wing are of

equal length and are4

3the width of the main building,

which is 12 m wide, including the veranda of 2 m.

1.1 If the real length of the main building is 120 m long, what scalewas used for this drawing?

1.2 Draw a plan view of the old-aged home, showing detailedmeasurements.

1.3 Draw a floor plan of the layout of one of the rooms. Take intoaccount that each pensioner has a bed, a chair and acupboard.

2. Answer the following questions regarding the scale of drawings.

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2.1 If you were given a scale drawing of a flowerand you were told that the scale was 1 : 2,would the actual flower be bigger or smaller?

2.2 If you were given a scale drawing of a flower and you were toldthat the scale was 2 : 1, would the actual flower be bigger orsmaller?

3. Look at the grid below.

Assume that the small blocks on the grid are all 5 mm.

3.1 Determine the diameter of the star.



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3.2 Determine the radius of a circle that will fit around the outside ofthe star.

3.3 What would the scale be if the star was to be enlarged until ithad a diameter of 80 mm?

4. The isometric drawing below shows a childs playhouse, with walls2 m high, the ridge of the roof is 600 mm above the centre of thedoor. The door of the playhouse is 1 m wide. The grid alongsidethe isometric drawing shows the correct proportions.

Determine:

4.1 The height of the door.

4.2 The width of the front view of the playhouse.

4.3 The length of the side view of the playhouse.

4.4 The width of the window.

4.5 The dimensions of the roof panel either side of the ridge.



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ANSWERS

1.1 120 MM : 120 000 MMScale = 1 : 1 000

1.2



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1.3

2.1 The actual flower would be double the size.

2.2 The actual flower would be half the size of the drawing.



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3.1 8 x 5 40 mm

3.2 Radius = 40 2 = 20 mm

3.3 1 : 2

4.1 2 m: The top of the door is in linewith the edge of the roof.

4.2 2 m. The door is 1 m wide, andthe front is double the doorswidth.

4.3 12 blocks = 6 metres

4.4 8 blocks = 4 metres



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4.5 The panel is 6 m long.

Use Pythagoras to determine thewidth.

c = 22 ba +

width = 22 160 +,

width = 1,167 m

The dimensions of a panel of the roof is 6 m x 1,167 m


13 LO3 Scale Drawings and Models

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