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Nadusha1986 [10]
3 years ago
13

What is the EDGE LENGTH of a cube with VOLUME 27/64 cubic units?

Mathematics
1 answer:
Effectus [21]3 years ago
8 0

Step-by-step explanation:

Let edge length of cube be x units.

volume \: of \: cube =  \frac{27}{64}  \\  \\  \therefore \:  {x}^{3}  = \frac{27}{64}  \\  \\ \therefore \:  {x}^{3}  = \frac{ {3}^{3} }{ {4}^{3} }  \\  \\ \therefore \:  {x}^{3}  = (\frac{ {3}}{ {4} } )^{3} \\  \\  \therefore \:  {x} = \frac{ {3}}{ {4} }  \\  \\ \therefore \:  {x} =0.75 \:  {unit}

Hence, length of edge of cube = 0.75 units

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