find volume of regular pyramid if is given:
area of the base 12 cm^2 , and area of 4 sides is 24 cm^2 . find Volume

Question

find volume of regular pyramid if is given:
area of the base 12 cm^2  ,  and area of 4 sides is 24 cm^2  . find Volume

linna · Answer

Pyramid looks like http://math.about.com/od/formulas/ss/surfaceareavol_5.htm

linna · Answer

multiple choices are

10 cm^3
12
16
20

savvy · Answer

12cm3

linna · Answer

I want to know how to do it, I'm trying to solve this but I can't ...

linna · Answer

could it be something like:

$$ \large  \begin{array}{l}A = 2bs + {b^2}\24 + 14 = 2bs + 12\36 - 12 = 2bs\\frac{{24}}{2} = bs\12 = \sqrt {12}  \cdot s\s = \frac{{12}}{{\sqrt {12} }}\end{array} $$

jhonyy9 · Answer

,,Linna" can you tel me what form sides has a pyramid ?

jhonyy9 · Answer

24cm^2 is the total lateral area ?

linna · Answer

is like this: (is not drawn in the given, but this is I'm sure... ) http://math.about.com/od/formulas/ss/surfaceareavol_5.htm

savvy · Answer

$$4\times(1/2)sb = 24$$b^2 = 12
from the above eqn's we get s=b
h = sqrt.[s^2 - (b/2)^2]
since s=b;
h = 3
hence volume = (1/2)X3X12 =12

linna · Answer

yes lateral that's the word i couldn't find ... is 24 cm^2 total lateral  so one it means 24/4 right?  ..

jhonyy9 · Answer

yes sure

jhonyy9 · Answer

so there on this site what you have attached are all dates what you need for you can solveing this exercise right

jhonyy9 · Answer

what the base of a pyramid ?

linna · Answer

square...   |dw:1336204464357:dw|

jhonyy9 · Answer

yes

jhonyy9 · Answer

than area of a square = ?

linna · Answer

|dw:1336204504036:dw|
$$\ a\times a=a^2 $$