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The diagram shows a prism with a cross section in the shape of a trapezium - Edexcel - GCSE Maths - Question 3 - 2017 - Paper 2
Question 3
The diagram shows a prism with a cross section in the shape of a trapezium. On the centimetre grid below, draw the front elevation and the side elevation of the pri... show full transcript
Worked Solution & Example Answer:The diagram shows a prism with a cross section in the shape of a trapezium - Edexcel - GCSE Maths - Question 3 - 2017 - Paper 2
Step 1
Draw the Side Elevation
Answer
To draw the side elevation of the prism, first note that the height of the side elevation corresponds to the longer height of the prism. Given that the height is 2.5 m, using the scale of 2 cm to 1 m, this equates to a height of 5 cm on the drawing.
The width of the prism at the base is 2 m, which translates to 4 cm in the drawing. Therefore, you will draw a rectangle that is 4 cm wide and 5 cm tall. Mark the edges clearly with solid lines.
Step 2
Draw the Front Elevation
Answer
For the front elevation, the trapezium’s base is defined by the lower edge which measures 2 m or 4 cm in the drawing. The top width of the trapezium is also represented at 2 m (4 cm), and since one side slopes inwards, ensure the angles create a trapezium shape. Draw the trapezium with parallel sides of 4 cm each and ensure the side edges create the correct slopes, supporting the given heights of 2 m tall, which is represented as 4 cm on your grid. This will result in a trapezium with a height of 4 cm (2 m) and the shorter parallel side being 1 m, so 2 cm in your drawing. Additionally, label the elevation correctly.