Numeracy
Application of Number
______________
L2
Workbook 14
2D/3D and Scale
MSS1/L2.1
MSS1/L2.2
MSS1/L2.10
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS2/L2.1
Use Mathematical terms to describe common 2D shapes and 3D objects
Exercise 1
Below are shown common 2D shapes along with their mathematical terms.
1.
Draw the 3D objects in the appropriate gaps above their labels.
2D Shapes
Square
a)
Rectangle
Circle
3D Shapes
1.
1.
.
Cube
Cuboid
2D Shapes
Isosceles Triangle
b)
Equilateral Triangle
3D Shapes
1.
1.
.
Prism
Workbook 14
Cylinder
Level 2 Numeracy/Application of Number
2
 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS2/L2.1
2.
List some everyday objects which could be described by the following
mathematical terms:
For example:
Workbook 14
circle
clock
cylinder
can of beans
cuboid
filing cabinet
cube
dice
rectangle
sheet of A4 paper
square
chessboard
prism
Toblerone bar
square-based pyramid
Egyptian pyramids
isosceles triangle
sandwiches in a plastic case
equilateral triangle
road sign (give way)
Level 2 Numeracy/Application of Number
3
 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS2/L2.1
Nets – For some of the following tasks you may need isometric or other appropriate paper.
Ask your tutor for advice.
The net of a cube can look like this
3.
Which of the following are also nets of cubes?
(a)
(b)
(c)
(d)
4.
5.
a)
Say what shape you think can be made from the net below
b)
Make a sketch of the shape
Make a sketch of a net for:
(a)
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the cylinder
b)
the pyramid
Level 2 Numeracy/Application of Number
4
 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS2/L2.1
Interpretation of 2D representation of 3D objects
Exercise 2
1.
Name the 3D shapes for the nets.
(a)
(b)
(c)
2.
Using appropriate paper, make a sketch of the table or desk you are working on.
Workbook 14
Level 2 Numeracy/Application of Number
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 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS2/L2.1
3.
A 3D drawing of a die is shown. Copy the 2D diagram and complete, then cut it out
and make the net into a 3D die.
One always goes
opposite six
Workbook 14
Level 2 Numeracy/Application of Number
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 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS2/L2.1
Plans and elevations
Exercise 3
•
Think and look carefully at the details before you answer.
•
Try and picture it 3-dimensionally
Now have a go
1.
This is a plan view of a
house, tree and shed.
From which point do you see each of
these views?
OK? Have this checked and turn over.
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Level 2 Numeracy/Application of Number
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 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS2/L2.1
2.
Drawing plans from 3-dimensional objects
3-dimensional drawings (3D for short) can be used to draw 2-dimensional (flat) plans.
2D drawings are very useful if they are drawn to scale because measurements can be
taken from the plan without having to leave the office - much more convenient than
going outside!
A front and a back view of a shed are shown in 3D below.
Imagine that the
shed is made of
card and that you
have cut along the
edges and laid it
out flat. Fill in the
missing
dimensions on the
2D plan of the
walls and floor on
the next page. (The
roof is not
included).
Workbook 14
Level 2 Numeracy/Application of Number
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 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS1/L2.10
MSS2/L2.1
SCALE 2 cm : 1 m
7 cm
cm
cm
Back
cm
Front
1.2 cm
The floor plan has to be shown
separately because it is the
only view looking at the
INSIDE of the shed
Windows
Floor plan
3. Use the scale to find how far
each window and the door are
from the respective edges of
the shed.
Mark in the measurements on
the 3D drawing.
Door
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Level 2 Numeracy /Application of Number
9
Draw in the TV aerial on the
2D plan
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basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS1/L2.10
MSS2/L2.2
Measuring using a tape
The dimensions of the walls door and windows are shown on the 3D drawing, but the
positions of the doors and windows are not. In fact they are all exactly 0·5 m from the edges
of the shed. It is very easy to forget some measurements when measuring a real object for a
job such as decorating.
The best way is to work from each edge and note all the measurements without moving the
tape:
A
Tape
It is easiest if at least two people work together. One holds the tape and the other reads it
and notes the measurements.
The sort of notes for the front of the shed would be like those below.

Distances from the left hand edge and the top are just read straight from the tape
Exercise 4
1.
Try the measuring technique by using a tape to measure the dimensions of one wall
of your classroom. Draw a 2D picture to a scale of 2 cm : 1 m.
Show all the details such as radiators, windows etc.
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Level 2 Numeracy/Application of Number
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 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS1/L2.10
MSS2/L2.2
Parallel lines never meet. They are always the same distance apart.
Examples:
The opposite sides of a rectangle.
The sides of a door.
Measure various objects in your house and find the parallel lines
Television
Cupboards
Bed
Window
Box of cereal
What else can you find?
Take several measurements across your living room floor.
Are the walls parallel?
If not, what problems do you think there would be if you tried to carpet the floor with carpet
tiles?
2.
Copy the following plan to graph paper, drawing it to the scale 2 cm : 1 m.
Plan out how you would fit carpet tiles measuring 50 cm x 50 cm.
3.10 m
2.9 m
(not to scale)
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Level 2 Numeracy/Application of Number
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 West Nottinghamshire College 2004
basic & keySKILLBUILDER
Measures, Shape and Space
2D/3D and Scale
MSS1/L2.10
Exercise 5
This is the ground floor of a
house.
Kitchen
1. What do the following symbols
stand for?
a)
b)
Dining Area
2. The drawing has a scale.
Hall
This is indicated at the base of the
plan. What does this mean?
Width
3. a) Measure the width of the lounge.
Lounge
b) Using the scale state the actual
width of the lounge.
4. A shelf unit bought for the lounge is
2 metres long.
How long would this be on the
plan?
5. Measure the room you are in and
draw to scale and mark the
furniture.
Scale: 1cm represents 1m
Exercise 6
1.
Look at the scale on various maps and work out the distance you would have to travel
to visit places of interest to you.
NB
Did you notice that the scale is not the same on all maps. It is important that you
check the scale very carefully before working out distances.
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Level 2 Numeracy/Application of Number
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