Plan and Elevation Drawings of 3d Shapes
Projections
This topic is all about understanding 2D projections of 3D objects. Specifically, at that place are 3 projections of a 3D that we volition consider:
- The plan – what the shape looks like from above
- The side height – what the shape looks like from the side
- The front top – what the shape looks like from the forepart.
Make certain you lot are happy with the following earlier continuing:
– 2nd Shapes
– 3D Shapes
Level 1-iii GCSE 
Plans and Elevations of a 3D Shape
Take a look at the square-based pyramid shown.
Plan
The programme is the view from above. This would show a square with ane line going from each corner to the center.
Side Elevation
If nosotros expect from the side, it would look like a triangle.
Front Acme
This is the view you lot would encounter direct from the front. If yous imagine standing in front end of the pyramid and looking at it, information technology would look like a triangle.
Level 1-three GCSE
Example one: Drawing Plans and Elevations
Draw a plan, a front elevation, and a side elevation of the 3D shape below.
This is a typical example of a shape yous would exist given in a question on this topic – one made of a series of 1 cm blocks. It allows united states of america to clearly get the dimensions of our projections correct.
Plan
This would testify an Fifty-shape very clearly – three blocks long and 2 blocks broad (at the base of the L).
Side peak
This would just show the base of the Fifty – 2 side-by-side 1 cm blocks.
Front elevation
This would bear witness the front of the L – 3 side-by-side 1 cm blocks.
So, the resulting iii projections await like:
Level 1-3 GCSE
Instance 2: Interpreting Plans and Elevations
Utilize the plan, front superlative and side elevation shown below to construct a cartoon of the 3D shape described.
To do this, we'll think about each project 1-by-one and consider what it means.
Program – Shows the general shape of the object (a P shape, sort of).
Side elevation – Nosotros tin can come across that but the 3rd square has 2 levels
Front elevation – From this we can see that only the left side has two levels.
From this we tin can draw the following 3D shape.
Level 1-iii GCSE
Example Questions
As we can see, the shape is one block high and is the shape of a cross, or letter x. Equally a upshot, the program is going to exist the shape of a cross, and both elevations will merely be one block high. Furthermore, we can see that in looking at both from the forepart and from the side, the shape in question is 3 blocks wide, so the resulting elevations will both exist 3 blocks broad and 1 block loftier. All 3 projections are shown below.
Firstly, looking at the programme we can come across that the shape is one block wide, and 4 blocks long. Then, from the front end elevation we tin see that the shape is 2 blocks high, but at both ends the shape doesn't actually touch the floor – those ii end blocks are only attached to the top row. In this detail case, we actually don't demand the side elevation to consummate the picture, the start two are enough. So, the resulting 3D shape looks like:
The plan should show the shape from directly in a higher place. From this viewpoint information technology will exist three units beyond (bold the modest foursquare is one unit) hence information technology will await like:
The side elevation volition view the shape as 3 units high:
The plan should show the shape from directly above. From this viewpoint information technology will be three units (assuming the small foursquare is 1 unit of measurement) across hence volition expect similar:
The side elevation will view the shape as 2 units high:
All iii projections are as seen beneath.
Related Topics
Worksheet and Example Questions
Source: https://mathsmadeeasy.co.uk/gcse-maths-revision/projections-plans-and-elevations-gcse-revision-and-worksheets/
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