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Home » Por lo tanto, el número total de disposiciones distintas es: - Get link 4share

Por lo tanto, el número total de disposiciones distintas es: - Get link 4share

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 5**Question:** A soil scientist is analyzing soil samples and finds that a certain property value \( p \) is a multiple of 6. If \( p \) cubed is less than 8000, what is the largest possible value of \( p \)?

📌 We are given that \( p \) is a positive multiple of 6 and \( p^3 < 8000 \). To find the largest possible value of \( p \), we first determine the cube root of 8000:

📌 \sqrt[3]{8000} = 20

📌 Since \( p \) must be a multiple of 6, we consider multiples of 6 that are less than 20. These multiples are 6, 12, and 18. We check which of these satisfy \( p^3 < 8000 \):

📌 For \( p = 18 \), \( 18^3 = 5832 \) which is less than 8000.

📌 For \( p = 24 \), \( 24^3 = 13824 \) which exceeds 8000, but 24 is not less than 20.

📌 Thus, the largest multiple of 6 less than 20 is 18, and it satisfies \( 18^3 = 5832 < 8000 \). Therefore, the largest possible value of \( p \) is \(\boxed{18}\).

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