How to find the volume of a polyhedron - SSAT Upper Level Quantitative
Card 1 of 48
Find the volume of a regular hexahedron with a side length of 
.
Find the volume of a regular hexahedron with a side length of
Tap to reveal answer
A regular hexahedron is another name for a cube.
To find the volume of a cube,
Plugging in the information given in the question gives
A regular hexahedron is another name for a cube.
To find the volume of a cube,
Plugging in the information given in the question gives
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Find the volume of a regular octahedron with side lengths of 
.
Find the volume of a regular octahedron with side lengths of
Tap to reveal answer
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
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Find the volume of a regular hexagonal prism that has a height of 
. The side length of the hexagon base is 
.
Find the volume of a regular hexagonal prism that has a height of
Tap to reveal answer
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
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Find the volume of a prism that has a right triangle base with leg lengths of 
and 
and a height of 
.
Find the volume of a prism that has a right triangle base with leg lengths of
Tap to reveal answer
To find the volume of a prism, multiply the area of the base by the height.
To find the volume of a prism, multiply the area of the base by the height.
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Find the volume of a square pyramid that has a height of 
and a side length of 
.
Find the volume of a square pyramid that has a height of
Tap to reveal answer
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
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Find the volume of a square pyramid with a height of 
and a length of a side of its square base of 
.
Find the volume of a square pyramid with a height of
Tap to reveal answer
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
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Find the volume of a regular hexagonal prism that has a height of 
. The side length of the hexagon base is 
.
Find the volume of a regular hexagonal prism that has a height of
Tap to reveal answer
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
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In terms of 
, find the volume of a regular hexagonal prism that has a height of 
. The hexagon base has side lengths of 
.
In terms of
Tap to reveal answer
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
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Find the volume of a regular tetrahedron that has side lengths of 
.
Find the volume of a regular tetrahedron that has side lengths of
Tap to reveal answer
The formula to find the volume of a tetrahedron is
Plugging in the information given by the question gives
The formula to find the volume of a tetrahedron is
Plugging in the information given by the question gives
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Find the volume of a regular tetrahedron with a side length of 
.
Find the volume of a regular tetrahedron with a side length of
Tap to reveal answer
The formula to find the volume of a tetrahedron is
Plugging in the information given by the question gives
The formula to find the volume of a tetrahedron is
Plugging in the information given by the question gives
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Find the volume of a regular octahedron that has a side length of 
.
Find the volume of a regular octahedron that has a side length of
Tap to reveal answer
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
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Find the volume of a regular octahedron that has a side length of 
.
Find the volume of a regular octahedron that has a side length of
Tap to reveal answer
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
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Find the volume of a regular hexahedron with a side length of .
Find the volume of a regular hexahedron with a side length of
Tap to reveal answer
A regular hexahedron is another name for a cube.
To find the volume of a cube,
Plugging in the information given in the question gives
A regular hexahedron is another name for a cube.
To find the volume of a cube,
Plugging in the information given in the question gives
← Didn't Know|Knew It →
Find the volume of a regular octahedron with side lengths of .
Find the volume of a regular octahedron with side lengths of
Tap to reveal answer
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
Use the following formula to find the volume of a regular octahedron:
Plugging in the information from the question,
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Find the volume of a regular hexagonal prism that has a height of . The side length of the hexagon base is .
Find the volume of a regular hexagonal prism that has a height of
Tap to reveal answer
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
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Find the volume of a prism that has a right triangle base with leg lengths of and and a height of .
Find the volume of a prism that has a right triangle base with leg lengths of
Tap to reveal answer
To find the volume of a prism, multiply the area of the base by the height.
To find the volume of a prism, multiply the area of the base by the height.
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Find the volume of a square pyramid that has a height of and a side length of .
Find the volume of a square pyramid that has a height of
Tap to reveal answer
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
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Find the volume of a square pyramid with a height of and a length of a side of its square base of .
Find the volume of a square pyramid with a height of
Tap to reveal answer
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
The formula to find the volume of a square pyramid is
So plugging in the information given from the question,
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Find the volume of a regular hexagonal prism that has a height of . The side length of the hexagon base is .
Find the volume of a regular hexagonal prism that has a height of
Tap to reveal answer
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
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In terms of , find the volume of a regular hexagonal prism that has a height of . The hexagon base has side lengths of .
In terms of
Tap to reveal answer
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
The formula to find the volume of a hexagonal prism is
Plugging in the values given by the question will give
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