I have just one question. What is the shape of the base? Is is a square pyramid?
I have been trying to solve this one but i simply don't know how to. I asked my teacher about it and he said I should try to use the coefficient of similarity, but still no results. The task:
The bases of a truncated pyramid have the surfaces (areas) of 98cm^2 and 2cm^2. Whats the surface (area) of a section that cuts trough the truncated pyramid and goes trough the center of the truncated pyramid's height and is parallel with the bases.
Every help is welcome!
Thanks in advance.
1. Draw a sketch (see attachment)
2. Complete the frustrum to a pyramide as indicated in my sketch. The proportion of similar areas equals the proportion of the square of corresponding lengthes.
3. Let t denote the top area (2 cm²), b the base area (98 cm²) and s the cross-section area.
Then you know:
4. The cross-section has the distance
from the top of the completed pyramide.
Then you know:
Replace y by 7x: