Conversion from grams/liter to valume of the container

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Homework Help Overview

The discussion revolves around converting grams per liter to the volume of a container needed to hold a powder product, specifically baking soda. The problem involves a product weighing 227 grams with a density of 300 grams per liter.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the conversion of weight to volume using density, with calculations presented for determining the volume in liters and its equivalent in ounces. Questions arise regarding the accuracy of the calculations and the origin of certain factors used in the reasoning.

Discussion Status

Participants are engaged in exploring the calculations related to the volume required for the product. Some guidance has been offered regarding the conversion process, while questions about specific numbers and assumptions remain open for further clarification.

Contextual Notes

There is mention of a hint regarding the overflow capacity of the container, suggesting that additional considerations may be relevant to the problem setup.

tony69
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Conversion from grams/liter to volume of the container

I have a problem that need your help. This is not my homework, it is a friend of my who needs to solve this for his project. Here is the description below:

The product is in powder form (like baking soda). The label weight of the package is 8oz (227grams). The density is 300 grams/liter. What is the minimal volume of the container that is required to fill this product?

Hint: find the overflow capacity of the container

Thanks in advance.
 
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tony69 said:
I have a problem that need your help. This is not my homework, it is a friend of my who needs to solve this for his project. Here is the description below:

The product is in powder form (like baking soda). The label weight of the package is 8oz (227grams). The density is 300 grams/liter. What is the minimal volume of the container that is required to fill this product?

Hint: find the overflow capacity of the container

Thanks in advance.

Welcome to the PF. This belongs in the Homework Help section anyway, since it is for schoolwork. (I moved it)

If the density is 300 grams/liter, and you have 227 grams, then how much of a liter will that fill? A liter is a measure of volume.
 
berkeman said:
Welcome to the PF. This belongs in the Homework Help section anyway, since it is for schoolwork. (I moved it)

If the density is 300 grams/liter, and you have 227 grams, then how much of a liter will that fill? A liter is a measure of volume.

Yes, then how much of a liter will that fill?

My friend came up with this but don't know if this correct.

8oz converted to gram is 227g
227g / 300 g per litter = 0.7567 liter
1 liter = 33.81402 oz
then 0.7567 liter x 33.81402 oz per liter = 25.587 oz
Then 25.587 oz x 1.10 = 28.15 oz
 
tony69 said:
Yes, then how much of a liter will that fill?

My friend came up with this but don't know if this correct.

8oz converted to gram is 227g
227g / 300 g per litter = 0.7567 liter
1 liter = 33.81402 oz
then 0.7567 liter x 33.81402 oz per liter = 25.587 oz
Then 25.587 oz x 1.10 = 28.15 oz

The 0.757 liter number looks correct. But where did the 1.10 come from?
 
berkeman said:
The 0.757 liter number looks correct. But where did the 1.10 come from?

You can ignore this 1.10 number.

The answer is

8oz converted to gram is 227g
227g / 300 g per litter = 0.7567 liter
1 liter = 33.81402 oz
then 0.7567 liter x 33.81402 oz per liter = 25.587 oz
 

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