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7 (a) Change 8000 cm³ to m³ (b) Change a speed of 180 km per hour to metres per second. - Edexcel - GCSE Maths - Question 7 - 2022 - Paper 3

Question 7

7 (a) Change 8000 cm³ to m³ (b) Change a speed of 180 km per hour to metres per second.

Worked Solution & Example Answer:7 (a) Change 8000 cm³ to m³ (b) Change a speed of 180 km per hour to metres per second. - Edexcel - GCSE Maths - Question 7 - 2022 - Paper 3

Step 1

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Answer

To convert cubic centimeters (cm³) to cubic meters (m³), we can use the conversion factor:

1 m³ = 1,000,000 cm³.

To convert 8000 cm³ to m³:

8000 ext{ cm³} = \frac{8000}{1000000} ext{ m³} = 0.008 ext{ m³}

Step 2

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Answer

To convert kilometers per hour (km/h) to meters per second (m/s), we can use the conversion factor:

1 km/h = \frac{1}{3.6} m/s.

To convert 180 km/h to m/s:

180 ext{ km/h} = \frac{180}{3.6} ext{ m/s} = 50 ext{ m/s}

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