SOLUTION: Find the surface area of a tetrahedran when the slant height is 10 in?

Algebra.Com
Question 1001137: Find the surface area of a tetrahedran when the slant height is 10 in?

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Find the surface area of a when the slant height is 10 in?
---------------------------------------------------------------------

Probably,  you mean a regular tetrahedron which has all edges congruent?
(Otherwise the question has no a unique answer . . . ).

Why do not formulate it directly,  clearly and explicitly?  Why I should do it instead of you?

Such a tetrahedron has four faces,  and each of them is a regular triangle with the altitude of  10 in.
Hence,  the base of each such a triangle is of   in.  (It is the length of the edge of the regular tetrahedron).

Then the area of a single triangle  (of a single face)  is  .. =  square inches.

Hence,  the surface are of the tetrahedron is   =  .


RELATED QUESTIONS

How do you find the volume of a right cone when you don't know the height or slant height (answered by KMST,Alan3354)
The area of the lateral surface of a cone is πrl, where l is the slant height. Find the... (answered by ikleyn)
4. Find the surface area and volume of a right cone with a radius of 6 cm, slant height... (answered by Alan3354)
What is the surface area of a square pyramid with the length & width of 12 cm, a slant... (answered by ewatrrr)
What is the slant height of a cone that has a Lateral surface area of 285 sq cm and a... (answered by macston)
The lateral surface area of a regular square pyramid is 240 m^2. If each side of its base (answered by ikleyn)
find the surface area of a cone with a radius of 3 inches and a slant height of 5... (answered by Earlsdon)
The roof of a tower is in the shape of a square pyramid the length of the roof is 12... (answered by macston)
the total surface area of a cone is 628 Cm2.If its slant height is 17 Cm. find the... (answered by macston)