Help your students prepare for their Maths GCSE with this free converting units of area and volume worksheet of 34 questions and answers
Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
Converting metric units of area and volume is an extension of converting metric units of length. Converting between different units, to smaller units or larger units, might be done to make a measurement easier to understand or to perform calculations.
When converting between metric units of area, we need to square the conversion rate for the units of length. For example, there are 10 millimetres in a centimetre so to convert from centimetres to millimetres we multiply by 10 . To convert from centimetres squared to millimetres squared we multiply by 10^2 . The reason for this is that we are working in two dimensions and 1cm^2 = 1cm times 1cm = 10mm times 10mm = 100mm^2 .
Similarly, when converting between metric units of volume, we need to cube the conversion rate for the units of length. For example, to convert between km and m we multiply by 1000 since there are 1000m in 1km . Working in three dimensions,
1km^3 = 1km times 1km times 1km = 1000m times 1000m times 1000m = 1 000 000 000m^3 .
Looking forward, students can then progress to additional conversion worksheets and other ratio and proportion worksheets, for example a ratio worksheet or a simplifying and equivalent ratios worksheet.
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