A frustum of a right pyramid has a bottom base ABCD with AB = 15 cm and BC = 10 cm. The top base EFGH has FG = 6 cm. If FG is parallel to BC and EH is parallel to AB, what is the length of EH?

April 23, 2026Mathematics

ScanSolve AI Answer

April 23, 2026

Answer

$FG$ corresponds to $BC$ , and $EH$ corresponds to $AB$

Step 1: Calculate the length of EH. The figure is a frustum of a right pyramid, which means the top and bottom bases are similar rectangles. The bottom base ABCD has sides $AB = 15 \text{ cm}$ and $BC = 10 \text{ cm}$ . The top base EFGH has side $FG = 6 \text{ cm}$ . From the diagram, $FG$ is parallel to $BC$ , and $EH$ is parallel to $AB$ . Therefore, $FG$ corresponds to $BC$ , and $EH$ corresponds to $AB$ . The ratio of similarity $k$ is given by the ratio of corresponding sides:

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Quick Answer

Calculate the length of EH. The figure is a frustum of a right pyramid, which means the top and bottom bases are similar rectangles.

Asked on April 23, 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 April 23, 2026

Step 1: Calculate the length of EH. The figure is a frustum of a right pyramid, which means the top and bottom bases are similar rectangles. The bottom base ABCD has sides AB = 15 cm and BC = 10 cm. The top base EFGH has side FG = 6 cm. From the diagram, FG is parallel to BC, and EH is parallel to AB. Therefore, FG corresponds to BC, and EH corresponds to AB. The ratio of similarity k is given by the ratio of corresponding sides: k = (FG)/(BC) = 6