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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 use the conversion factor:

1 m³ = 1,000,000 cm³.

Thus, to convert 8000 cm³ to m³, we can use the formula:

ext{m³} = rac{ ext{cm³}}{1,000,000} = rac{8000}{1,000,000} = 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 use the following conversion factors:

1 km = 1000 m and 1 hour = 3600 seconds. So,

We convert:

ext{m/s} = 180 ext{ km/h} imes rac{1000 ext{ m}}{1 ext{ km}} imes rac{1 ext{ hour}}{3600 ext{ seconds}}.

Calculating this, we get:

ext{m/s} = 180 imes rac{1000}{3600} = 50 ext{ m/s}.

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