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The exact diameter of the moon is 3480km. Arjun measures the diameter of the moon to be 3500km.
- [2]
Determine the percentage error in Arjun's estimate.
Using his measurement, Arjun estimates the surface area of the moon to be A=a×10kkm2, where 1≤a<10.
- [2]
Find a and k.
Arjun uses a millimeter ruler to measure the dimensions of a postage stamp.
The height h of the stamp satisfies the inequality 13≤h<14.
- [1]
Write a similar inequality for the width, w, of the stamp.
- [4]
Using Arjun's measurements, estimate the minimum number of stamps necessary to cover the moon.
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