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Example Question #1 : How To Find The Surface Area Of A Tetrahedron
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Possible Answers:
Correct answer:
Explanation:
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute :
square inches.
Example Question #1 : Tetrahedrons
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Possible Answers:
Insufficient information is given to answer the question.
Correct answer:
Explanation:
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about .
Rounded, this is 84.9.
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