Quadrilateral 7815

The area of the mantle of a regular quadrilateral pyramid is equal to twice the area of its base. Calculate the pyramid's volume if the base edge's length is 20 dm.

Correct answer:

V =  2309.4011 dm3

Step-by-step explanation:

a=20 dm  S1=a2=202=400 dm2 S2=2 S1=2 400=800 dm2  S2 = 4   a h2/2  h2=S2/a/2=800/20/2=20 dm  h22 = h2 + (a/2)2  h=h22(a/2)2=202(20/2)2=10 3 dm17.3205 dm  V=31 S1 h=31 400 17.3205=2309.4011 dm3



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







Tips for related online calculators
Tip: Our volume units converter will help you convert volume units.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


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

Related math problems and questions: