Question

Find the volume of a regular tetrahedron whose altitude measures 10 cm.

Answer 1

the formula is
V = \(\sqrt 2\)/12 * a^3

Answer 2

it is not the edge that is given but the ALTITUDE..

Answer 3

now i got it.. :))

Answer 4

How ?

Answer 5

altitude = root(2/3) * a
10 = root(2/3) * a
100=2/3 a^2
a= 5 root 6

V = root(2)/12 * a^3
V = 216.5

Answer 6

I thought it like this..\[\large\color{green}{x=\frac{100}{\sqrt{3}}}\]

Answer 7

Sorry..\[\large\color{green}{x=\frac{10}{\sqrt{3}}}\]

Answer 8

that's fine.. ^^

Answer 9

;)

Answer 10

@eroshea I am glad tht u got it..:D :)

Answer 11

thanks for your help @hartnn and @Miyuru ^^

Answer 12

I didn't help.. o.O

Answer 13

Thank @hartnn ONLY

Answer 14

well, you tried helping me.. so thanks :))

Answer 15

u got it on your own, @eroshea :)

Answer 16

Is my way wrong @hartnn

Answer 17

if u got the same volume, then u are correct.

Answer 18

It's nearly 181.4 :(

Answer 19

then incorrect :P

Answer 20

:D

Answer 21

:D

Answer 22

OHH Anyway thnks for U all and Welcome...

Answer 23

Ohh @eroshea you mean the height is 10.. Isn't it ?

Answer 24

yes

Answer 25

I thought it was the altitude of a triangle.. :P

Answer 26

no.. it's the height of the tetrahedron

Answer 27

Ok got it.. :) Then your way is correct. :D

Answer 28

yep :D

Answer 29

what is the figure and where did 2/3 came from?