If side of a cube is 10cm then find its diagonal
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Answer:If the edge of each face is 10cm, the diagonal of each face (by Pythagoras) is
102+102−−−−−−−−√=200−−−√ cm
Now the internal diagonal (from opposite corners of the cube) will have this face-diagonal as its base and the 10cm edge as its height.
So (again by Pythagoras) the internal diagonal is given by:
102+200−−−−−−−−√=300−−−√=103–√ cm
Step-by-step explanation:
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