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.
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
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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.