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EnglandProduct Design and TechnologiesQuick questions

Mathematical and technical principles

Quick questions on Scales, ratios and geometry: technical drawing and sizing - Edexcel A-Level Product Design

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are converting units?
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Work in one set of units: 1010 mm =1= 1 cm, 100100 cm =1= 1 m, 10001000 mm =1= 1 m. For area and volume, the conversion factor is squared or cubed (11 cm squared =100= 100 mm squared; 11 cm cubed =1000= 1000 mm cubed). Getting units consistent first prevents most errors.
What is q1?
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A part is drawn at 1 ⁣:21 \colon 2 and measures 6060 mm on the drawing. What is its real length? [1 mark]
What is q2?
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A rectangular sheet is 1.21.2 m by 0.80.8 m. Find its area in square metres. [1 mark]
What is q3?
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A cylindrical bottle has radius 33 cm and height 2020 cm. Find its volume and its capacity in litres. [2 marks]

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