GMAT Quantitative Reasoning › Tetrahedrons
The height of a right pyramid and the sidelength of its square base are equal. The perimeter of the base is one yard. Give its volume in cubic inches.
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?
A right pyramid has height ; its base is a square with four sides of length
each. What is the volume of this pyramid?
Refer to the above diagram, which shows a tetrahedron.
, and
. Give the surface area of the tetrahedron.
What is the volume of a right pyramid whose height is 20 and whose base is an equilateral triangle with sidelength 10?
A right triangular pyramid has as its base an equilateral triangle with sidelength 10. Its height is 15.
Give its volume.
In three-dimensional space, the four vertices of a tetrahedron - a solid with four faces - have Cartesian coordinates
,
where
Give its volume in terms of .
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?