ISEE Upper Level Quantitative : How to find the surface area of a tetrahedron

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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Example Questions

Example Question #1 : How To Find The Surface Area Of A Tetrahedron

Which is the greater quantity?

(a) The surface area of a regular tetrahedron with edges of length 1

(b) 2

Possible Answers:

It is impossible to tell from the information given.

(a) and (b) are equal.

(b) is greater.

(a) is greater.

Correct answer:

(b) is greater.


A regular tetrahedron has four faces, each of which is an equilateral triangle. Therefore, its surface area, given sidelength , is 


Substitute  :

, so (b) is greater.

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