# how to find the volume in cm?

the surface area: 166,241,700 km^2 depth: 39,940 m. what is the volume in cm^2??

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In order to answer this using the information available, I'm going to make some assumptions about what you were actually given.

I'm going to go out on a limb and guess that the surface area of the 3D shape is not 166,241,700 km^2. I'm going to guess that rather we are faced with a prism, and the face at the ends has an area of 166,241,700 km^2 while the 'length' of the prism is 39,940 m.

Actually, I'm going to guess that you're dealing either with the ocean or the atmosphere. Probably the atmosphere.

Anyhoo, you need to get all in the same units. I'm going to work in km, then convert to cm.

Volume of prism = area of cutface x length

Area of cutface is already in km^2. Need length (depth) in km. km = kilometers. Kilo means 'a thousand'. There are 1000 meters in a kilometer. So the length is 39.94 km

Volume of prism = 166,241,700 x 39.94 km^3

Work it out.

Now you need this in cm^3

How many cm in a m? cm = centimeters. Centi means 'hundredth'. There are 100 centimeters in a meter.

How many cm^2 in a m^2? A square with an area of 1 m^2 is 1 m along each side. That means it is 100 cm along each side, giving 1 m^2 = 100 x 100 cm^2 = 10,000 cm^2

How many cm^3 in a m^3? A cube with volume 1 m^3 is 1 m by 1 m by 1 m. That means it is 100 cm by 100 cm by 100 cm, giving 1 m^3 = 1,000,000 cm^3

In the same way, you can work out how many m^3 fit in a km^3 (a cube with a volume of 1 km^3 is 1000 m by 1000 m by 1000 m). When you know that, you can combine it with the answer above to give 1 km^3 = _____m^3 = _____ cm^3

You can then use that conversion to write 166,241,700 x 39.94 km^3 in cm^3. It will be a very big number.

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