A frustum ABCDEFGH is part of a right pyramid. Base ABCD has AB = 9 cm, BC = 12 cm. Top EFGH has FG = 6 cm, GH = 8 cm. The frustum height is 10 cm. Find the height of the pyramid.

here are the answers for parts (a), (b), and (c):

The frustum ABCDEFGH is part of a right pyramid.
Given dimensions:
Base ABCD: $AB = 9$ cm, $BC = 12$ cm.
Top EFGH: $FG = 6$ cm, $GH = 8$ cm.
Height of the frustum = 10 cm.

a) Find the height of the pyramid.

Step 1: Determine the ratio of corresponding sides of the bases.
The bases ABCD and EFGH are similar rectangles.
Ratio of lengths: $\frac{AB}{FG} = \frac{9}{6} = \frac{3}{2}$.
Ratio of