Pyramid cut

We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm2. Find the area of the original pyramid.

Correct answer:

S1 =  29.2402 cm2

Step-by-step explanation:

S2=10 cm2 S2=a22 a2=S2=10=10 cm3.1623 cm  V2=10020V1  31S2 h2=1002031S1 h1 S2 h2=0.20 S1 h1  a1:h1=a2:h2 a1:a2=h1:h2  S2=a1/a2 0.20 S1 a23=a13 0.20  a1=3a23/0.20 a1=a2 31/0.20=3.1623 31/0.205.4074 cm  S1=a12=5.40742=29.2402 cm2



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







Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Tip: Our volume units converter will help you convert volume units.
See also our trigonometric triangle calculator.

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

Related math problems and questions: