The thickness of a layer of ice in a water body is .
- (a)
Write in standard form.
Answer ...
- (b)
The ice covers an area of .
Assuming that all the ice melts and ignoring the expansion of volume when water freezes, calculate the volume of water, in litres.
Answer ... l
- (c)
A thunderstorm occurs and rainwater is falling at an average rate of litres per second over the water body.
Calculate the percentage increase in the volume of water in the water body after two hours.
Answer ...%
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Worked solution
13(a)
1. Rewrite the number with a coefficient between 1 and 10 and choose the correct power of 10.
The decimal point moves 3 places to the right to get , so the power is .
13(b)
1. Calculate the volume of ice/water in cubic metres.
Thickness
2. Convert the volume from cubic metres to litres.
Since ,
13(c)
1. Calculate the volume of rainwater added in two hours.
Rainwater added
2. Express the increase as a percentage of the original volume of water.
Original volume from part (b) .
Percentage increase
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