A pyramid has an original height of 4.5 m and a base side length of 6 m. A frustum is created by cutting off the top portion, resulting in a frustum height of 3 m. Calculate the height of the small py

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QUESTION 4

Given:
Original height of the pyramid, $H = 4.5$ m.
Height of the truncated pyramid (frustum), $h_f = \frac{2}{3} \times 4.5 \text{ m} = 3$ m.
(Note: The diagram shows 1 m for the frustum height, but we prioritize the calculation from the text description.)
Side length of the base of the original pyramid, $L = 6$ m.
Side length of the top square of the frustum, $x$.

First, determine the height of the small pyramid that was removed from the top.
Height of small pyramid, $h_s = H - h