SOLUTION: Pyramid TABCD has a 20-cm square base ABCD. The edges that meet at T are 27 cm long. Make a diagram of TABCD, showing F, the point of ABCD closest to T. Find the height TF, to the

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Question 1163516: Pyramid TABCD has a 20-cm square base ABCD. The edges that meet at T are 27 cm long. Make a diagram of TABCD, showing F, the point of ABCD closest to T. Find the height TF, to the nearest cm. Find the volume of TABCD, to the nearest cm.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Point F is the center of the square base -- i.e., the intersection of the diagonals of the base.

Then the unknown height TF, the length of AF, and the known length of AT form a right triangle.

Determine the length of AF from the given information and use the Pythagorean Theorem to find the height TF.

Then use the formula for the volume of a pyramid (V+=+%281%2F3%29Bh) to determine the volume (in cm^3, not in cm).