# What is the volume of the tetrahedron?

## What is the volume of the tetrahedron?

The volume of a tetrahedron can be calculated by using the formula (1/6√2) s3 cubic units, where ‘s’ is the side length of the tetrahedron.

### How do you make a truncated tetrahedron?

In geometry, the truncated tetrahedron is an Archimedean solid. It has 4 regular hexagonal faces, 4 equilateral triangle faces, 12 vertices and 18 edges (of two types). It can be constructed by truncating all 4 vertices of a regular tetrahedron at one third of the original edge length.

How many edges does a truncated tetrahedron?

18 edges
The Truncated Tetrahedron has 4 equilateral triangular faces and 4 regular hexagonal faces which totals 8 faces, 12 vertices, and 18 edges.

How do you find the volume of a tetrahedron in linear algebra?

3. Volume of the tetrahedron is equal to 1/6 times the absolute value of the above calculated determinant of the matrix.

## How many square faces are there in truncated octahedron?

6 square faces
Solution: A truncated octahedron has 6 square faces.

### How many edges are there in tetrahedron?

6Tetrahedron / Number of edges

How many faces does a truncated pyramid have?

A pyramid has an apex and only one base face whereas a truncated pyramid does not have an apex and has two base faces, one at the top and one at the bottom.

How do you find the volume of a right tetrahedron?

Correct answer: The volume of the tetrahedron is one third the product of its base and its height, the latter of which is . Therefore, \displaystyle V = \frac{1}{3} \cdot 9n \cdot 2n^{2} = 6 n^{3}.

## How do you find the equation of a tetrahedron?

Therefore it has an equation of the form z=c(x−y), c a constant. Plugging in the point (1,0,1) leads to c=1, so that you finally obtain the equation z=x−y. @DarkKnight: The plane z=x−y forms the “roof” of the tetrahedron T. The “base” of T in the (x,y)-plane z=0 is the triangle 0≤y≤x≤1.