Question- Using an Excel sheet, calculate the space required to hold 6 months’ supply of food grains in 50 kg bags for 22,500 people, based on the ration of 400 g/person/day. Note 1 MT of grain occupies approximately 1.5 m³ and bags are stacked 3 meters high. Please ensure to present your answer coherently and ensure it shows calculation of your answer.

To calculate the space required to hold a 6 months' supply of food grains for 22,500 people in 50 kg bags, we need to follow these steps:

1. **Calculate the total amount of food grains needed:**

    \[
    \text{Daily ration per person} = 400 \text{ grams/day} = 0.4 \text{ kg/day}
    \]

    \[
    \text{Total ration for 1 person for 6 months} = 0.4 \text{ kg/day} \times 180 \text{ days} = 72 \text{ kg}
    \]

    \[
    \text{Total ration for 22,500 people for 6 months} = 72 \text{ kg/person} \times 22,500 \text{ people} = 1,620,000 \text{ kg}
    \]

2. **Convert the total amount of food grains from kilograms to metric tons (MT):**

    \[
    1,620,000 \text{ kg} = 1,620 \text{ MT}
    \]

3. **Calculate the total volume of food grains in cubic meters (m³):**

    \[
    \text{Total volume} = 1,620 \text{ MT} \times 1.5 \text{ m³/MT} = 2,430 \text{ m³}
    \]

4. **Calculate the volume per 50 kg bag:**

    \[
    \text{Volume per 50 kg bag} = \frac{1.5 \text{ m³}}{1,000 \text{ kg}} \times 50 \text{ kg} = 0.075 \text{ m³}
    \]

5. **Calculate the number of 50 kg bags required:**

    \[
    \text{Number of bags} = \frac{1,620,000 \text{ kg}}{50 \text{ kg/bag}} = 32,400 \text{ bags}
    \]

6. **Calculate the total volume of the bags:**

    \[
    \text{Total volume of bags} = 32,400 \text{ bags} \times 0.075 \text{ m³/bag} = 2,430 \text{ m³}
    \]

7. **Determine the floor area required when bags are stacked 3 meters high:**

    \[
    \text{Floor area} = \frac{\text{Total volume}}{\text{Height}} = \frac{2,430 \text{ m³}}{3 \text{ m}} = 810 \text{ m²}
    \]

To summarize, the steps are:
1. Calculate the total kilograms of grains needed.
2. Convert the total kilograms to metric tons.
3. Determine the total volume in cubic meters.
4. Calculate the volume of one 50 kg bag.
5. Calculate the total number of 50 kg bags required.
6. Calculate the total volume of the bags.
7. Determine the floor area required with the given stacking height.

### Detailed Excel Calculations:

| Step | Description                                     | Formula                                    | Result       |
|------|-------------------------------------------------|--------------------------------------------|--------------|
| 1    | Daily ration per person                         | \(0.4 \text{ kg/day}\)                     | 0.4 kg/day   |
| 2    | Total ration for 1 person for 6 months          | \(0.4 \times 180\)                         | 72 kg        |
| 3    | Total ration for 22,500 people for 6 months     | \(72 \times 22,500\)                       | 1,620,000 kg |
| 4    | Convert to metric tons                          | \(1,620,000 \div 1,000\)                   | 1,620 MT     |
| 5    | Total volume of food grains in cubic meters     | \(1,620 \times 1.5\)                       | 2,430 m³     |
| 6    | Volume per 50 kg bag                            | \( \frac{1.5}{1,000} \times 50\)           | 0.075 m³     |
| 7    | Number of 50 kg bags required                   | \(1,620,000 \div 50\)                      | 32,400 bags  |
| 8    | Total volume of the bags                        | \(32,400 \times 0.075\)                    | 2,430 m³     |
| 9    | Floor area required when bags are stacked 3 m high | \(2,430 \div 3\)                        | 810 m²       |

So, the total floor area required to store the 6 months' supply of food grains is **810 square meters**.

Do you want further details or have any questions?

Here are 5 questions you might ask next:
1. How to optimize space utilization for grain storage?
2. What are the best practices for stacking bags to maximize safety and space?
3. How to convert volume requirements to different units of measurement?
4. What are other factors to consider in food grain storage?
5. How to manage and monitor food grain stock levels?

**Tip:** When stacking bags, ensure they are placed on pallets to avoid direct contact with the floor, which can help prevent moisture damage.

Learn how to calculate the space required to hold a 6 months' supply of food grains for 22,500 people using Excel. This problem involves converting units, calculating volumes, and determining space requirements based on stacking height. Suitable for adults needing practical calculation skills.

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