---
title: "A block of uniform material is cut into two pieces, where one piece is cut to have a volume that is \\( 3 \\) times the volume of the other. How does the density of the smaller piece compare to the density of the larger piece?"
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url: "https://nerd-notes.com/ubq/107048/"
date_modified: "2026-08-18T02:38:38+00:00"
---

# A block of uniform material is cut into two pieces, where one piece is cut to have a volume that is \( 3 \) times the volume of the other. How does the density of the smaller piece compare to the density of the larger piece?

A block of uniform material is cut into two pieces, where one piece is cut to have a volume that is \( 3 \) times the volume of the other. How does the density of the smaller piece compare to the density of the larger piece?

- **A.** The smaller piece has \( 3 \) times the density of the larger piece.
- **B.** The densities are equal.
- **C.** The relationship cannot be determined without knowing the total mass.
- **D.** The smaller piece has \( \frac{1}{3} \) the density of the larger piece.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/107048/*