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The density of silver is 10.5 g/cm³. What is the mass (in kilograms) of a cube of silver that measures 0.62 m on each side?

The density of silver is 10.5 g/cm³. What is the mass (in kilograms) of a cube of silver that measures 0.62 m on each side?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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### Physics Problem: Calculating Mass from Density and Volume **Problem Statement:** *The density of silver is 10.5 g/cm³. What is the mass (in kilograms) of a cube of silver that measures 0.62 m on each side?* **Steps to Solve:** 1. **Calculate the Volume of the Cube:** - Volume of a cube = side³ - V = 0.62 m × 0.62 m × 0.62 m - V = 0.238328 m³ 2. **Convert Volume to cm³:** - 1 m³ = 1,000,000 cm³ - V = 0.238328 m³ × 1,000,000 cm³/m³ - V = 238,328 cm³ 3. **Use Density to Find Mass:** - Density (ρ) = mass/volume - Mass (m) = Density (ρ) × Volume (V) - ρ = 10.5 g/cm³ - m = 10.5 g/cm³ × 238,328 cm³ - m = 2,502,444 g 4. **Convert Mass to Kilograms:** - 1 kg = 1,000 g - m = 2,502,444 g / 1,000 - m = 2,502.444 kg **Answer:** The mass of the cube of silver that measures 0.62 m on each side is **2,502.444 kilograms**.
Transcribed Image Text:### Physics Problem: Calculating Mass from Density and Volume **Problem Statement:** *The density of silver is 10.5 g/cm³. What is the mass (in kilograms) of a cube of silver that measures 0.62 m on each side?* **Steps to Solve:** 1. **Calculate the Volume of the Cube:** - Volume of a cube = side³ - V = 0.62 m × 0.62 m × 0.62 m - V = 0.238328 m³ 2. **Convert Volume to cm³:** - 1 m³ = 1,000,000 cm³ - V = 0.238328 m³ × 1,000,000 cm³/m³ - V = 238,328 cm³ 3. **Use Density to Find Mass:** - Density (ρ) = mass/volume - Mass (m) = Density (ρ) × Volume (V) - ρ = 10.5 g/cm³ - m = 10.5 g/cm³ × 238,328 cm³ - m = 2,502,444 g 4. **Convert Mass to Kilograms:** - 1 kg = 1,000 g - m = 2,502,444 g / 1,000 - m = 2,502.444 kg **Answer:** The mass of the cube of silver that measures 0.62 m on each side is **2,502.444 kilograms**.
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