Example 1

The following figure is a right pyramid with an isosceles triangle base. Find the volume of the pyramid if the height is 20 cm.

Triangular Pyramid

 Step 1.  Find the height of the base.

When the height of the triangular base is unknown, use Pythagorean Theorem.

vol pyr 1


 Step 2.  Find the area of the base.

vol pyr 2

Step 3.  Substitute the area of the base and the height into the volume formula and calculate the volume.

vol pyr 3



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