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.

May 11, 2026Mathematics

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May 11, 2026

Answer

9 $cm,$ BC = 12$ cm.

You're on a roll — 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

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You're on a roll — here are the answers for parts (a), (b), and (c): The frustum ABCDEFGH is part of a right pyramid.

Asked on May 11, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 11, 2026

You're on a roll — 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: (AB)/(FG) = (9)/(6) = (3)/(2). Ratio of