Quadrilateral 8109

The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface.

Correct answer:

h =  16.5982 cm
S =  192.8541 cm2

Step-by-step explanation:

u1=5 2=5 2 cm7.0711 cm s=12 2=12 2 cm16.9706 cm  a=u1/2=7.0711/2=5 cm  h=s2(u1/2)2=16.97062(7.0711/2)2=16.5982 cm
S1=a2=52=25 cm2 h2=s2(a/2)2=16.97062(5/2)216.7854 cm  S2=2a h2=25 16.785441.9635 cm2  S=S1+4 S2=25+4 41.9635=192.8541 cm2



Did you find an error or inaccuracy? Feel free to write us. Thank you!










Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: