The surface area and average depth of a body of water are 45457625 km2 and 2682 m respectively. Calculate the volume of water in GL to 3 significant figures.
Question
Solution
To calculate the volume of the body of water, you need to multiply the surface area by the average depth.
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Convert the surface area from km^2 to m^2. There are 1,000,000 m^2 in a km^2, so 45457625 km^2 is equal to 45457625 * 1,000,000 = 4.5457625 x 10^13 m^2.
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Multiply the surface area in m^2 by the average depth in m to get the volume in m^3. So, 4.5457625 x 10^13 m^2 * 2682 m = 1.219681545 x 10^17 m^3.
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Convert the volume from m^3 to GL (gigaliters). There are 1 billion (1 x 10^9) liters in a gigaliter, and there are 1,000 liters in a m^3, so there are 1 x 10^6 m^3 in a GL. Therefore, 1.219681545 x 10^17 m^3 is equal to 1.219681545 x 10^17 / 1 x 10^6 = 1.219681545 x 10^11 GL.
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To 3 significant figures, the volume of the body of water is 1.22 x 10^11 GL.
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