How many cubic centimeters are in 1 cup?
109433
Deriving this is one of my favorite derivations.  It is really close to 236 and 10/17.  Here it is:\n\nLegally, there are 231 cubic inches per gallon.\n\n1 gal = 231 in^3\n\nNow take the cube root of both sides, remembering the law of exponents, (a*b)^c = a^c * b^c.  A cube root is an exponent of (1/3).  Dimensional analysis is the theory that you can manipulate the [gal] and the [in] like they were algebraic unknowns.\n\n1 cube_root_gallon = cube_root(231) * inches ` ` ` ` ` (1)\n\nNow a cube root of a gallon is the length of a side of a cube with volume one gallon.  Lets convert this inches to centimeters.  Legally\n\n` ` 2.54 cm = 1 inch\n\nmultiply this equation by 1/inch both sides to get\n\n` ` 2.54 cm/inch = inch/inch\n\nnotice that the right side is equivalent to 1\n\n` ` 2.54 cm/inch = 1\n\nNot multiply this equivalent to 1 on the right hand side of equation (1) to get\n\n1 cube_root_gallon = cube_root(231) * inches * 2.54 cm/inch\n\nand cancel the "inch" dimension on the numerator and demonenator right hand side\n\n1 cube_root_gallon = cube_root(231) * 2.54 cm\n\nnow cube both sides to get gallons again, remembering the law of exponents, that is each factor on the right is cubed as well\n\n\n1 gallon = 231 * (2.54)^3 cm^3\n\nNow working on the left hand side, 4 quarts = 1 gallon, so by a similar argument 1 = 4 quarts/gallon and multiplying this to the left hand side of the equation (since multiplying by 1 doesn't change the value)\n\n1 gallon*4 quarts/gallon = 231 * (2.54)^3 cm^3\n\ncancelling "gallon"\n\n4 quarts = 231 * (2.54)^3 cm^3\n\nand 2 pints = 1 quart, so 2 pints/quart = 1, multiplying and cancelling\n\n4 * 2 pints = 231 * (2.54)^3 cm^3\n\nand a fluid 8 oz. "cup" is really (1/2) a pint, so (1/2)pint = 1 cup, thus (1/2) = 1 cup/pint and multiplying this throughout by 2 gives 1 = 2 cup/pint and multiplying this and cancelling\n\n4 * 2 * 2 cup = 231 * (2.54)^3 cm^3\n\nnow divide both sides by 16\n\n1 cup = (231 * (2.54)^3 / 16) cm^3\n\nand by calculator\n\n  = 236.5882365 cm^3\n\nThe difference between this answer and 236 10/17 is about 1.2 x 10^(-6).
370393
8floz in a cup and 32 floz in one quart
726000
1/3 Cup = 78.86 CC (Militers)
675702
The simplest way to remember the conversion of litre to cubic meter is that;\n\n1 ml(mililitre) = 1 cm^3 (cubic centimetre)\n\n1 m^3 = 1000000 cm^3\n      = 1000000 ml\n      = 1000 litres
807629
1 cup = 8 oz. 1 gal = 128 oz. Answer is 16.
917881
cc = centimeter cubic (cm3)\n1 liter = 1000 cc\nand\n1 liter = 1000 ml\nso\n1 mililiters (ml) = 1 cc
1181241
1 cm cubed = 0.001 dm cubed = 0.001 liters = 10^(-3)liters
419905
volume = 3x2x2 = 12 cubic feet\n\n1 litre = 100 cubic centimetres\n\n30 centremetres = 1 ft\n\nwork the rest out, come you can do it
585383
1 litre is 1000 milliletres. 1 liter is defined as 1/1000 of a cubic meter. 1 cubic meter is 100 cm x 100 cm X 100 cm or 1 million cubic centimeters. I millionith of a cubic meter is 1 cm x 1 cm x 1cm or 1 cubic centimeter, which is equal to 1 millilitre.\n\nTherefore, 1 litre is equal to 1000 cu centimeters.
1001779
The problem is that, if we set one cubic centimetre to one centilitre, that would *not* work out to one cubic meter = 1 litre.  In fact, it would work out to 1 cubic meter = 10,000 litre.\n\nThe reason?  If you take a box that's 1 cm on a side -- 1cm x 1cm x 1cm -- and multiply each dimension by a factor of 10, you wind up multiplying your volume by a factor of 10x10x10 = 1000.\n\nSince the scaling of cubic-length to volume doesn't proceed in a 1:1 ratio, instead the core units (metre, litre) were designed (1) to be reasonably close to other, commonly known measurements, to make estimating conversions easier, and (2) such that certain common arithmetic operations, like 1cc = 1mL, worked out cleanly.
529532
10 Litre = 10000 cm^3\n100 Litre = 100000 cm^3\n1000 Litre = 1000000 cm^3 \n\n1 m  = 100 cm\n1 m^3 = 1000000 cm^3\n\n10 Litre = 0.01 m^3\n100 Litre = 0.1 m^3\n1000 Litre = 1 m^3\n\nSo 1 cubic Metre would contain 1000 Litre
351653
About 2000 mL, if each cup is 250 mL
833855
1 cubic centimeter = 1 milliliter.  Take the weight of the item in question in grams and divide it by the density of the material to get equivalent cubic centimeters and then translate to milliliters.\n\nFor water, density is 1g/cc which is the equivalent of 1 g/ml
911209
volume is measured in liters or cubic meters
440592
there are 10 centimeters in a decimeter.
411743
The volume of a cone is 1/3 the area of the base of the cone (the circle) times the height.  The area of a circle is pi times the radius squared.\n\nSo, 1/3 (pi)(33.5)(33.5)(1797) = approx. 2,111,865.76 cubic centimeters.
1141669
Capacity is volume.  The inside of a mug is cylinderical. The equation for the volume of a cylinder is:\n\nV = pi * (radius)^2 * height\n\nso,\nradius = diameter/2\nr = 8/2\nr = 4\n\nV = (3.14) (4)^2 (7)\nV = (3.14) (16) (7) \nV = 351.68 cubic centimeters (cm^3)