Grade DE Converting Metric Units Know and use

Key Vocabulary Metric Imperial Length Area Volume Capacity

Metric Conversions of Length Converting between these units you need to multiply or divide

Converting Metric Areas What is the area of a square 1 m by 1

Converting Metric Areas What is the volume of a cube 1 m by 1

Metric Conversions Area & Volume Metric Area ÷ 10² mm² ÷ 100² cm² ÷

Now you try Convert the following units (a) A rectangle is 6 m by

Now you try Convert the following units (d) A cube has a volume of

Reason and Explain A football pitch is 80 m by 120 m. Calculate: (a)

Reason and Explain 5 miles ≈ 8 kilometres The approximate distance between London and

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Grade D/E Converting Metric Units Know and use metric conversions of length, area, volume and capacity If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk

Key Vocabulary Metric Imperial Length Area Volume Capacity

Metric Conversions of Length Converting between these units you need to multiply or divide by powers of 10 Here is an example using length (metres) ÷ 100 ÷ 10 mm cm x 10 1 km = 1000 m 1 m = 100 cm 1 cm = 10 mm ÷ 1000 m x 100 km x 1000

Converting Metric Areas What is the area of a square 1 m by 1 m in cm² 1 m 100 cm 1 m Area 1 m x 1 m = 1 m² 1 m = 100 cm Area 100 cm x 100 cm = 10, 000 cm²

Converting Metric Areas What is the volume of a cube 1 m by 1 m in cm³ 100 cm 1 m 1 m 100 cm Volume 1 m x 1 m = 1 cm³ 1 m = 100 cm x 100 cm = 1, 000 cm³

Metric Conversions Area & Volume Metric Area ÷ 10² mm² ÷ 100² cm² ÷ 1000² m² km² x 100² x 1000² Metric Volume÷ 10³ ÷ 1000³ mm³ x 10³ cm³ m³ x 100³ km³ x 1000³

Now you try Convert the following units (a) A rectangle is 6 m by 4 m. What is it’s area in cm²? (b) A cuboid is 2 cm by 3 cm by 5 cm. What is it’s volume in mm³? (c) A field has an area of 36 km². What is it’s area in m²?

Now you try Convert the following units (a) A rectangle is 6 m by 4 m. What is it’s area in cm²? 6 m x 4 m = 24 m² 600 cm x 400 cm = 240, 000 cm² (b) A cuboid is 2 cm by 3 cm by 5 cm. What is it’s volume in mm³? 2 cm x 3 cm x 5 cm = 30 cm³ 20 mm x 30 mm x 50 mm = 30, 000 mm³ (c) A field has an area of 36 km². What is it’s area in m²? 1 km = 1000 m 1 km² = 1000 m x 1000 m = 1, 000 m² So 36 km² = 36, 000 m²

Now you try Convert the following units (d) A cube has a volume of 8 cm³. What is it’s volume in m³? (e) A square has an area of 8100 m². What is the length of each side of the square in km?

Now you try Convert the following units (d) A cube has a volume of 8 cm³. What is it’s volume in m³? 1 cm = 0. 01 m 1 cm³ = 0. 01 x 0. 01 = 0. 000001 m³ So 8 cm³ = 0. 000008 m³ (e) A square has an area of 8100 m². What is the length of each side of the square in km? √ 8100 = 90 So the length of each side is 90 m 90 ÷ 1000 = 0. 09 km

Reason and Explain A football pitch is 80 m by 120 m. Calculate: (a) the perimeter in cm. (b) The area in km².

Reason and Explain A football pitch is 80 m by 120 m. Calculate: (a) the perimeter in cm. (b) The area in km². (a) 80 m by 120 m is 8, 000 cm by 12, 000 cm Perimeter = 8, 000 + 12, 000 Perimeter = 40, 000 cm (b) 80 m by 120 m is 0. 08 km by 0. 12 km Area = 0. 08 x 0. 12 Area = 0. 0096 km²

Reason and Explain 5 miles ≈ 8 kilometres The approximate distance between London and Cambridge is 60 miles. How far is it between London and Cambridge in metres?

Reason and Explain 5 miles ≈ 8 kilometres The approximate distance between London and Cambridge is 60 miles. How far is it between London and Cambridge in metres? 5 miles ≈ 8 kilometres 60 ÷ 5 = 12 8 x 12 = 96 London to Cambridge is 96 km London to Cambridge is 96, 000 m