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
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.
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. 1 km^2 is equal to 1,000,000 m^2. So, 45457625 km^2 is equal to 45457625 * 1,000,000 = 4.5457625 x 10^16 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 10^16 m^2 * 2682 m = 1.2191304455 x 10^20 m^3.
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Convert the volume from m^3 to GL (gigaliters). 1 m^3 is equal to 0.001 GL. So, 1.2191304455 x 10^20 m^3 is equal to 1.2191304455 x 10^20 * 0.001 = 1.2191304455 x 10^17 GL.
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Round to 3 significant figures: 1.2191304455 x 10^17 GL becomes 1.22 x 10^17 GL.
So, the volume of the body of water is approximately 1.22 x 10^17 GL.
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