Asked by Sue Bonds

A cube measures 5 cm on each side.
How long is the diagonal that connects two opposite
corners of the cube? Give an exact answer.

Answers

Answered by Ms. Sue
First, use the Pythagorean Theorem to find the length of the diagonal of one face of the cube.

a^2 + b^2 = c^2
25 + 25 = c^2
50 = c^2
7.0711 = c

That gives you another triangle with two sides >> 5 cm and 7.0711 cm

5^2 + 7.0711^2 = c^2
25 + 50 = c^2
75 = c^2
8.6603 = c

Check this site.

http://mathcentral.uregina.ca/QQ/database/QQ.09.04/brett1.html
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