Calculating the surface area of a tetrahedron

Practice Questions

GMAT Quantitative Reasoning › Calculating the surface area of a tetrahedron

Questions
9
1

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?

2

Tetra_1

Refer to the above diagram, which shows a tetrahedron.

, and . Give the surface area of the tetrahedron.

3

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?

4

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.

5

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?

6

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?

7

Tetra_1

The cube in the above figure has surface area 384. Give the surface area of the tetrahedron with vertices , shown in red.

8

Tetra_1

Evaluate the surface area of the above tetrahedron.

9

Tetra_1

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.

Return to subject