SOLUTION: PyramidTABCDhas a 20-cm square baseABCD. The edges that meet atTare 27cm long. Make a diagram ofTABCD, showingF, the point ofABCDclosest toT. To thenearest 0.1 cm, find the heig

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: PyramidTABCDhas a 20-cm square baseABCD. The edges that meet atTare 27cm long. Make a diagram ofTABCD, showingF, the point ofABCDclosest toT. To thenearest 0.1 cm, find the heig      Log On

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Question 1163752: PyramidTABCDhas a 20-cm square baseABCD. The edges that meet atTare 27cm long. Make a diagram ofTABCD, showingF, the point ofABCDclosest toT. To thenearest 0.1 cm, find the heightTF. Find the volume ofTABCD, to the nearest cc.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The point F is the point of intersection of the two diagonals of the base.

Triangle ATF is a right triangle. You know AT is 27cm; you can determine AF from the given side length of the square base. So you will be able to find the height of the pyramid from the Pythagorean Theorem.

Then use that height and the area of the base to find the volume.

I leave the calculations to you.

Note that the height turns out to be a whole number. If you aren't getting that result, there is something wrong with your calculations.