티스토리 뷰



You know what a regular tetrahedron looks like.


It's a horn shape with four equilateral triangles.


 


Generally, the volume of a three-dimensional shape is the area * height of the base.


This horn-shaped figure should be multiplied by a third.


 


To sum up


Volume of a spheroid = Area * Height / 3 of the underside.


 


The area of the underside of the surface is shown in the figure.


The area of the equilateral triangle.


A is the length of one side of an equilateral triangle.


The area of ABC is . ABC ² / 4. It's helpful to memorize this.


This is readily available only with the Pythagorean theorem.


Let's get it.


When you call E for repairs made to the BC at the extreme point A, the term E is omitted from the AEC, (lines, length. Look at the painting and take care of it.^^)


AE ² = a ² + (a / 2) ² = (3/4) a ², AE= √2


For example, the area of ABC = BC * AE2 = a * * √2 = = 3 a ² / 4


 


The next important thing is to get the height.


Take note of G ...This is the foot of the repair that came down from the base of the apparent vertex D.


You have to understand that this G dot is the center of gravity of the ABC.


 


By the nature of the center of gravity, AG : GE = 2:1.


So AG = (2/3) AE=23* √= √ 3 = = = = = a


 


Now, please watch ADG.I know the length of the two sides.


The Pythagorean theorem may be high.


I'm going straight into the bill.


H = (a ²) = (2/3 ²) = ((3) = (√ 6) a


 


The volume of the spheroid V = = a ² / 4 * (( .) / 3 = (√022) a ³. 


 


Yes. So far, the corners are generally pulled apart by a length. 


It says 2 munje high in the problem.


 H = (√3) a = 2 √ and a = 3 √ to the volumetric.


V = (√022) a ³ = (√2) ³ = 9


 


** How can I find the length of the lower part of an isosceles triangle with the length of 8? I don't ... I don't ...


There must be no height, no touch, nothing.