A square pyramid has side lengths of 10 units and a height of 7.6 units. The slant height of each lateral face is 9.1 units. What is the surface area of the pyramid to the nearest unit?
With all my math and physics problems, I like to draw them out so I don't have to keep things in my head and confuse myself. Then I can draw on it and write in things I don't know on top of it. Here we go... |dw:1343616883547:dw| You can see that big H is the height of the pyramid while little h is the height of the slanted side and S is the length of a side. So what information do we need to find out from this?
|dw:1343617341940:dw| See the previous drawing by kainui... S, h are the base length and slant height respectively.. Perpendicular ht. H is not needed... Area= 10^2 + 2 * 10 * 9.1 = 100+182= 282
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