Tetrahedrons
Practice Questions
GMAT Quantitative Reasoning › Tetrahedrons
A regular tetrahedron is a solid with four faces, each of which is an equilateral triangle.
Give the volume of a regular tetrahedron.
Statement 1: Each edge has length 8.
Statement 2: Each face has area 
Find the length of the edge of a tetrahedron.
Statement 1: The volume is 6.
Statement 2: The surface area is 6.
In the above diagram, a tetrahedron—a triangular pyramid—with vertices 
Statement 1: The cube can be inscribed inside a sphere with volume 
Statement 2: A sphere with surface area 
Note: Figure NOT drawn to scale.
The above figure shows a rectangular prism with an inscribed tetrahedron, or triangular pyramid, with vertices 
Statement 1:
Statement 2:
A tetrahedron is a solid with four triangular faces.
Give the volume of a tetrahedron.
Statement 1: The tetrahedron has four equilateral faces.
Statement 2: The surface area of the tetrahedron is 
In the above diagram, a tetrahedron - a triangular pyramid - with vertices 
Statement 1: The perimeter of Square 
Statement 2: The area of 
Note: Figure NOT drawn to scale.
Refer to the above figure, which shows a tetrahedron, or triangular pyramid. What is the volume of the tetrahedron?
Statement 1: 
Statement 2: 
Note: Figure NOT drawn to scale.
The above figure shows a rectangular prism with an inscribed tetrahedron, or triangular pyramid, with vertices 
Statement 1: Rectangle 
Statement 2: Rectangle 
Note: Figure NOT drawn to scale.
The above figure shows a rectangular prism with an inscribed tetrahedron, or triangular pyramid, with vertices 
Statement 1: Isosceles right triangle 
Statement 2:
A solid in three-dimensional coordinate space has four vertices, at points 
Statement 1:
Statement 2:
