Question 1089184
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<pre>
The lateral surface of this pyramid is comprised of four congruent triangles.

So the area of each such triangle (lateral face) is {{{84/4}}} = 21 ft^2.


This area is half of the product the base edge length and the slant height:

21 = {{{(1/2)*6*h}}},

which gives h = {{{(21*2)/6}}} = {{{42/6}}} = 7 ft.


<U>Answer</U>. The slant height is 7 ft.
</pre>

Solved.


On surface area of basic solid bodies see the lessons in this site

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<B>Lessons on surface area of prisms</B>


<A HREF=http://www.algebra.com/algebra/homework/Surface-area/Surface-area-of-prisms.lesson>Surface area of prisms</A>

<A HREF=http://www.algebra.com/algebra/homework/word/geometry/Solved-problems-on-surface-area-of-prisms.lesson>Solved problems on surface area of prisms</A>

<A HREF=http://www.algebra.com/algebra/homework/Surface-area/OVERVIEW-of-LESSONS-on-surface-area-of-prisms.lesson>Overview of lessons on surface area of prisms</A>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;

 </TD>
  <TD>
<B>Lessons on surface area of pyramids</B>


<A HREF=http://www.algebra.com/algebra/homework/Surface-area/Surface-area-of-pyramids.lesson>Surface area of pyramids</A>

<A HREF=http://www.algebra.com/algebra/homework/word/geometry/Solved-problems-on-surface-area-of-pyramids.lesson>Solved problems on surface area of pyramids</A>

<A HREF=http://www.algebra.com/algebra/homework/Surface-area/OVERVIEW-of-LESSONS-on-surface-area-of-pyramids.lesson>Overview of lessons on surface area of pyramids</A>

 </TD>
 </TR>
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  <TR>
  <TD>
<B>Lessons on surface area of cylinders</B>


<A HREF=http://www.algebra.com/algebra/homework/Surface-area/Surface-area-of-cylinders.lesson>Surface area of cylinders</A>

<A HREF=http://www.algebra.com/algebra/homework/word/geometry/Solved-problems-on-surface-area-of-cylinders.lesson>Solved problems on surface area of cylinders</A>

<A HREF=http://www.algebra.com/algebra/homework/Surface-area/OVERVIEW-of-LESSONS-on-surface-area-of-cylinders.lesson>Overview of lessons on surface area of cylinders</A>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;

 </TD>
  <TD>
<B>Lessons on surface area of cones</B>


<A HREF=http://www.algebra.com/algebra/homework/Surface-area/Surface-area-of-cones.lesson>Surface area of cones</A>

<A HREF=http://www.algebra.com/algebra/homework/word/geometry/Solved-problems-on-surface-area-of-cones.lesson>Solved problems on surface area of cones</A>

<A HREF=http://www.algebra.com/algebra/homework/Surface-area/OVERVIEW-of-LESSONS-on-surface-area-of-cones.lesson>Overview of lessons on surface area of cones</A>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;

 </TD>
  <TD>
<B>Lessons on surface area of spheres</B>


<A HREF=http://www.algebra.com/algebra/homework/Surface-area/Surface-area-of-spheres.lesson>Surface area of spheres</A>

<A HREF=http://www.algebra.com/algebra/homework/word/geometry/Solved-problems-on-surface-area-of-spheres.lesson>Solved problems on surface area of spheres</A>

<A HREF=http://www.algebra.com/algebra/homework/Surface-area/OVERVIEW-of-LESSONS-on-surface-area-of-spheres.lesson>Overview of lessons on surface area of spheres</A>

 </TD>
 </TR>
</Table>