Question 64953
For example, how would this be done for a cube with the dimensions 3.3m x 1.7m x 1.7m
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Sketch the cube so you can follow along with the following instructions.
Find the diagonal of the base.
The base is a 1.7m by 1.7m square.
Use Pythagoras to find the diagonal of that base.
Let "d" be the base diagonal:
d^2=1.7^2 + 1.7^2
d=1.7sqrt2
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Now find the hypotenuse of the triangle made 
with the following sides:
one side is the height=3.3 m
one side is the diagonal of the base = 1.7sqrt2
the third side is the diagonal of the cube which you have been asked to find.
Let the diagonal of the cube be "D"
Use Pythagoras again to find "D":
D^2=(3.3)^2 + (1.7sqrt2)^2
D^2=10.89 + 1.7sqrt2
D^2=13.29
D=sqrt13.29
D=3.646..
Cheers,
Stan H.