find the volume of a pentagonal pyramid with a base area of 14 and a height of 35
Should have gone here:
http://math.tutorvista.com/geometry/volume-of-a-pyramid.html
I looked this one up:
V= 5/12 TAN(54)ha^2
Substituting:
5/12 tan(54) (35)(14^2) = 3934.16 units^3 ( I do not know the units in your question)
Always the pyramid volume is:
V= (1/3)*A *h where A is the base area and h is the height
V = (1/3)*14 *35 =163.33 units
Oldeng...
Yah, that is true for a TRIANGULAR pyramid only...
...question asked about a PENTAGONAL pyramid.....hence the different formula.
Oldeng has the correct formula; it works for all pyramids because he is using the area of the base.
The 'a' in the formula by ElectricPavlov is the length of one side of the base, not the area of the base.
SORRY Folks ! I thought the equation I had was a = area , but in that equation a= length of one side of the base......
Apologies ! Thanx oldeng and geno !!
Should have gone here:
http://math.tutorvista.com/geometry/volume-of-a-pyramid.html