Question 354521
<pre>
Apparently "cuboid" is what we call "cube" in the USA.

{{{drawing(400,400,-.5,2.5,-.5,2.5,

line(0,0,1,0),
line(1,0,1,1),
line(1,1,0,1),
line(0,1,0,0),
line(1,0,1.5,.5),
line(1,1,1.5,1.5),
line(0,1,.5,1.5),
line(.5,1.5,1.5,1.5),
line(1.5,1.5,1.5,.5),
triangle(.5,.5,0,0,.2,.2),

rectangle(.5,.5,1.5,1.5)  


)}}}

If the front face is a square, and has area 50cm^2, then

{{{A = s^2}}}

{{{s^2 = A}}}

{{{s^2 = 50}}}

Therefore,

{{{s=sqrt(50)=7.071067812}}}

Then the volume of the cube is

{{{V = s^3}}}

{{{V = 7.071067812^3}}}

{{{V = 353.5533906cm^3}}}

Edwin</pre>