Question

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

Answer 1

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