The depth of the ocean is sometimes measured in fathoms (1fathom = 6 feet). Dist

Question

The depth of the ocean is sometimes measured in fathoms (1fathom = 6 feet). Distance on the surface of the ocean is sometimesmeasured in nautical miles (1 nautical mile = 6076 feet). The waterbeneath a surface rectangle 2.30 nauticalmiles by 2.95 nautical miles has a depthof 25.0 fathoms. Find the volume of water(in cubic meters) beneath this rectangle.
I do not know how to convert the cubic meters. Or how toset up the conversion chart. The depth of the ocean is sometimes measured in fathoms (1fathom = 6 feet). Distance on the surface of the ocean is sometimesmeasured in nautical miles (1 nautical mile = 6076 feet). The waterbeneath a surface rectangle 2.30 nauticalmiles by 2.95 nautical miles has a depthof 25.0 fathoms. Find the volume of water(in cubic meters) beneath this rectangle.
I do not know how to convert the cubic meters. Or how toset up the conversion chart.

Explanation / Answer

The volume of a rectangular prism is given by V=length*width*height You should convert these lengths into the same units beforeyou begin, so let's just use feet. l = 2.3 nautical miles = 2.3*6076 = 13974.8 ft w = 2.95 nautical miles = 2.85*6076 = 17924.2 ft h = 25 fathoms = 25*6 = 150 ft So V = (13974.8)(17924.2)(150) = 3.757x1010ft3. If you need it to go to meters, you can do a couplethings. One is to go to google, and search "3.757E10 cubicfeet to cubic meters." Google has a built in conversion whichis nice. You'll see the answer is 1.06 x 109m3. Or you can do it yourself by finding the conversion that 1ft3 = .0283168466 m3. So multiply 3.757x1010 by 0.0283168466 to find youranswer in cubic meters.

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