Help on conversion with mass involved

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In summary, the problem involves finding the mass of sand grains with the same total surface area as a cube with an edge length of 1.50 m. The given information includes the average radius of the sand grains (45 µm), the volume and mass of a solid cube of silicon dioxide (1.00 m3 and 2600 kg, respectively), and the formula for calculating the volume of a sphere (4/3*pi*r^3). To solve the problem, the volume of 1 grain of sand, the density of Silicon dioxide, and the surface area of 1 sphere must be determined. The final answer should be in kilograms.
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rt3ll3z
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Homework Statement



Grains of fine California beach sand are approximately spheres with an average radius of 45 µm and are made of silicon dioxide. A solid cube of silicon dioxide with a volume of 1.00 m3 has a mass of 2600 kg. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.50 m on an edge?

answer is in kg

Homework Equations


volume of sphere=4/3*pi*r^3


The Attempt at a Solution

 
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rt3ll3z said:

Homework Statement



Grains of fine California beach sand are approximately spheres with an average radius of 45 µm and are made of silicon dioxide. A solid cube of silicon dioxide with a volume of 1.00 m3 has a mass of 2600 kg. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.50 m on an edge?

answer is in kg

So what is the volume of 1 grain of sand?

What is the density of the Silicon dioxide?

What is the surface area of 1 sphere?
 

FAQ: Help on conversion with mass involved

1. How do I convert mass units?

To convert mass units, you will need to use a conversion factor. This is a number that relates the two units you are trying to convert. Simply multiply the original measurement by the conversion factor to get the new measurement. For example, to convert kilograms to pounds, you would multiply the number of kilograms by 2.20462.

2. What are the most common mass units used in conversions?

The most common mass units used in conversions are grams, kilograms, ounces, and pounds. These units are commonly used in everyday life and in scientific measurements.

3. How do I convert between metric and imperial mass units?

To convert between metric and imperial mass units, you will need to use conversion factors. For example, to convert kilograms to pounds, you would multiply the number of kilograms by 2.20462. To convert pounds to kilograms, you would divide the number of pounds by 2.20462.

4. How do I convert between different units within the metric system?

To convert between different units within the metric system, you will need to use the prefixes for each unit. For example, to convert from grams to kilograms, you would divide the number of grams by 1000. To convert from milligrams to grams, you would divide the number of milligrams by 1000.

5. What is the best way to keep track of conversions with mass involved?

The best way to keep track of conversions with mass involved is to write down each step of the conversion and make sure your units cancel out correctly. This will help ensure that you are converting the measurement accurately. Additionally, you can use online conversion calculators or conversion charts to double check your work.

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