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20 August, 04:04

How many 3/4 cubes do u need to create a cube with edge lengths of 18

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  1. 20 August, 04:29
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    The volume of a cube is the length cubed: V = l3. If the length is 12, the volume is 123=1728 cm3.

    I can't tell if the 3/4 is the length of the cube or the volume, but I will start by assuming it's the volume (meaning the cubes have a volume of 3/4 cm3 each). To find how many of these cubes are needed to make the larger cube, just divide the larger by the smaller: 1728 / (3/4) = 2308. 2308 cubes are needed.

    If 3/4 is the length, each 3/4 cm cube has a volume of (3/4) 3 = 27/64 cm3. This changes the final calculation to: 1728 / (27/64) = 4096. 4096 cubes are needed in this case.

    The distinction is tricky but important: a cube with 3/4 cm length is not the same as a cube of 3/4 cm3 volume.
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