Posted by **Laarni** on Sunday, July 14, 2013 at 9:57am.

Find the surface area and the lateral area of a regular square pyramid with base edge 6 and a lateral edge √34. PLEASE PLEASE HUHU Teach me how and what is lateral edge

- GEOMETRY(SURFACE AREA) -
**Steve**, Sunday, July 14, 2013 at 5:00pm
lateral edge is an edge from the base to the vertex. As opposed to a base edge.

If the base edge is 6, the base diagonal is 6√2

Now draw a right triangle from the center of the base to the vertex, including one base corner.

(6√2/2)^2 + h^2 = (√34)^2

18 + h^2 = 34

h = 4

So, now we have height 4 and base edge 6, so the faces are triangles with

base = 6

height = √(3^2 + 4^2) = 5

lateral area is thus 4 * 1/2 (6)(5)

add the square base if desired.

- GEOMETRY(SURFACE AREA) -
**Ericka**, Monday, October 14, 2013 at 3:04pm
18.63

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