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
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.
1 answer
1 answer