SSAT Upper Level Quantitative › How to find the volume of a polyhedron
Find the volume of a prism that has a right triangle base with leg lengths of and
and a height of
.
To find the volume of a prism, multiply the area of the base by the height.
Find the volume of a square pyramid that has a height of and a side length of
.
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
Find the volume of a square pyramid with a height of and a length of a side of its square base of
.
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
Find the volume of a regular hexagonal prism that has a height of . The side length of the hexagon base is
.
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
Find the volume of a regular hexagonal prism that has a height of . The side length of the hexagon base is
.
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
In terms of , find the volume of a regular hexagonal prism that has a height of
. The hexagon base has side lengths of
.
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
Find the volume of a regular tetrahedron that has side lengths of .
The formula to find the volume of a tetrahedron is
Plugging in the information given by the question gives
Find the volume of a regular tetrahedron with a side length of .
The formula to find the volume of a tetrahedron is
Plugging in the information given by the question gives
Find the volume of a regular octahedron that has a side length of .
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
Find the volume of a regular octahedron that has a side length of .
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,