GMAT Quantitative Reasoning › Calculating the surface area of a tetrahedron
The slant height of a pyramid is one and one-half times the perimeter of its square base. The base has sides of length 15 inches. What is the surface area of the pyramid?
Refer to the above diagram, which shows a tetrahedron.
, and
. Give the surface area of the tetrahedron.
A regular tetrahedron comprises four faces, each of which is an equilateral triangle. If the sum of the lengths of its edges is 120, what is its surface area?
In three-dimensional space, the four vertices of a tetrahedron - a solid with four faces - have Cartesian coordinates .
Give the surface area of the tetrahedron.
A regular tetrahedron is a solid with four faces, each of which is an equilateral triangle.
If the lengths of all of the edges of a regular tetrahedron are added, the total length is 120. What is the surface area of the tetrahedron?
A regular tetrahedron is a solid with four faces, each of which is an equilateral triangle.
Each edge of a regular tetrahedron has length . What is the surface area of the tetrahedron?
The cube in the above figure has surface area 384. Give the surface area of the tetrahedron with vertices , shown in red.
Evaluate the surface area of the above tetrahedron.
The above diagram shows a regular right triangular pyramid. Its base is an equilateral triangle; the other three faces are congruent isosceles triangles, with
an altitude of
. Give the surface area of the pyramid.