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title: "Cubes \\( 1 \\) and \\( 2 \\) are made of the same material. Cube \\( 1 \\) has edges of length \\( L \\) and is fully submerged in a fluid of density \\( 0.5 \\rho \\). Cube \\( 2 \\) has edges of length \\( 2L \\) and is fully submerged in a fluid of density \\( \\rho \\). The buoyant force on Cube \\( 1 \\) is \\( F_{\\text{B},1} \\) and the buoyant force on Cube \\( 2 \\) is \\( F_{\\text{B},2} \\). What is the ratio \\( F_{\\text{B},1} : F_{\\text{B},2} \\)?"
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url: "https://nerd-notes.com/ubq/106158/"
date_modified: "2026-08-18T02:39:32+00:00"
---

# Cubes \( 1 \) and \( 2 \) are made of the same material. Cube \( 1 \) has edges of length \( L \) and is fully submerged in a fluid of density \( 0.5 \rho \). Cube \( 2 \) has edges of length \( 2L \) and is fully submerged in a fluid of density \( \rho \). The buoyant force on Cube \( 1 \) is \( F_{\text{B},1} \) and the buoyant force on Cube \( 2 \) is \( F_{\text{B},2} \). What is the ratio \( F_{\text{B},1} : F_{\text{B},2} \)?

Cubes \( 1 \) and \( 2 \) are made of the same material. Cube \( 1 \) has edges of length \( L \) and is fully submerged in a fluid of density \( 0.5 \rho \). Cube \( 2 \) has edges of length \( 2L \) and is fully submerged in a fluid of density \( \rho \). The buoyant force on Cube \( 1 \) is \( F_{\text{B},1} \) and the buoyant force on Cube \( 2 \) is \( F_{\text{B},2} \). What is the ratio \( F_{\text{B},1} : F_{\text{B},2} \)?

- **A.** \( 1 \) : \( 1 \)
- **B.** \( 1 \) : \( 4 \)
- **C.** \( 1 \) : \( 8 \)
- **D.** \( 1 \) : \( 16 \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/106158/*