Pregunta
A stainless steel knife has a density of 8 grams per cubic centimeter and a volume 3 cubic centimeters. What is its mass? Submit
Ask by Welch Carroll. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The mass of the stainless steel knife is 24 grams.
Solución
**Step 1:**
Use the formula for mass:
\[
m = \rho \times V
\]
where \( m \) is the mass, \( \rho \) is the density, and \( V \) is the volume.
**Step 2:**
Substitute the given values into the equation:
\[
m = 8\, \text{g/cm}^3 \times 3\, \text{cm}^3
\]
**Step 3:**
Compute the mass:
\[
m = 24\, \text{g}
\]
**Answer:** The mass of the stainless steel knife is \(24\) grams.
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Simplifique esta solución The Deep Dive
To find the mass of the stainless steel knife, you simply multiply its density by its volume. With a density of 8 grams per cubic centimeter and a volume of 3 cubic centimeters, the calculation is straightforward: 8 g/cm³ × 3 cm³ = 24 grams. Voilà! You’ve got a knife weighing in at 24 grams. Speaking of stainless steel, this popular material is known for its resistance to rust and corrosion due to the alloying of iron with chromium. It’s widely used in kitchen tools not just for their appealing look but also for durability. The next time you're chopping vegetables, remember the science that keeps that knife gleaming and sharp!
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