SSAT Upper Level Quantitative › How to find the volume of a tetrahedron
Find the volume of a regular tetrahedron that has a side length of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
Find the volume of a regular tetrahedron that has a side length of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
Find the volume of a regular tetrahedron with a side length of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
Find the volume of a regular tetrahedron with side lengths of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
Find the volume of a regular tetrahedron with side lengths of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
Find the volume of a tetrahedron with side lengths of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
Find the volume of a regular tetrahedron with side lengths of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
Find the volume of a regular tetrahedron with side lengths of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
Find the volume of a regular tetrahedron with side lengths of .
Use the following formula to find the volume of a regular tetrahedron:
Now, plug in the given side length.
In three-dimensional space, the four vertices of a tetrahedron - a solid with four faces - have Cartesian coordinates .
Give its volume.
A tetrahedron is a triangular pyramid and can be looked at as such.
Three of the vertices - - are on the
-plane, and can be seen as the vertices of the triangular base. This triangle, as seen below, is isosceles:
Its base is 10 and its height is 18, so its area is
The fourth vertex is off the -plane; its perpendicular distance to the aforementioned face is its
-coordinate, 8, so this is the height of the pyramid. The volume of the pyramid is