All PSAT Math Resources
Example Questions
Example Question #1 : How To Find The Volume Of A Tetrahedron
Note: Figure NOT drawn to scale.
The above triangular pyramid has volume 25. To the nearest tenth, evaluate
.
Possible Answers:
Insufficient information is given to answer the problem.
Correct answer:
Explanation:
We are looking for the height of the pyramid.
The base is an equilateral triangle with sidelength 4, so its area can be calculated as follows:
The height
of a pyramid can be calculated using the fomula
We set
and and solve for :
Example Question #251 : Psat Mathematics
Note: Figure NOT drawn to scale.
Give the volume (nearest tenth) of the above triangular pyramid.
Possible Answers:
Correct answer:
Explanation:
The height of the pyramid is
. The base is an equilateral triangle with sidelength 4, so its area can be calculated as follows:
The volume of a pyramid can be calculated using the fomula
Example Question #252 : Geometry
A regular tetrahedron has an edge length of
. What is its volume?
Possible Answers:
Correct answer:
Explanation:
The volume of a tetrahedron is found with the equation
, where represents the length of an edge of the tetrahedron.Plug in 4 for the edge length and reduce as much as possible to find the answer:
The volume of the tetrahedron is
.
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