Tetrahedrons

Practice Questions

GMAT Quantitative Reasoning › Tetrahedrons

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1

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.

2

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?

3

A right pyramid has height ; its base is a square with four sides of length each. What is the volume of this pyramid?

4

Tetra_1

Refer to the above diagram, which shows a tetrahedron.

, and . Give the surface area of the tetrahedron.

5

What is the volume of a right pyramid whose height is 20 and whose base is an equilateral triangle with sidelength 10?

6

A right triangular pyramid has as its base an equilateral triangle with sidelength 10. Its height is 15.

Give its volume.

7

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 .

8

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?

9

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.

10

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?

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