Question

Help find the volume? Picture included.

Answer 1

Hi,

Volume of this tetrahedron is
$$
V = \frac{1}{3} A_0\,h \,
$$
where \(A_0\) is the area of the baseand h is the perpendicular distance from the apex to the base.

Does this make sense?

Answer 2

I get that, I don't know what the answer is to fit into the form below the picture. Which is what I need the answer to be.

Answer 3

If you need h, you can use this formula:
$$
H=\sqrt{2\over3}\,a\,
$$
where a is just the length of one of the sides.

Or you can also use the following formula, which takes height out of the equation:
$$
V={a^3\over{6\sqrt{2}}}\,
$$

What is the length of each side of your pyramid?

Answer 4

4.

Answer 5

So can you plug that into the following formula?
$$\large
V={a^3\over{6\sqrt{2}}}\,
$$
Which, btw, I got from wikipedia - http://en.wikipedia.org/wiki/Tetrahedron#Volume

Answer 6

Yeah, I'm sorry but I still don't know how to get it into the form it's supposed to be.

Answer 7

Do you know what I mean when I say "plug into formula?". It means, whenever you see an \(a\), put in the number 4. So, volume is
$$
\large
V={a^3\over{6\sqrt{2}}}\,={4^3\over{6\sqrt{2}}}\,
$$

See what I did?

Answer 8

You can use a calculator or just use google to find the answer: https://www.google.com/#q=4^3%2F%286*sqrt%282%29%29