https://file.aiquickdraw.com/mathbot/file/1727058707919rmvqqr0h.jpg

Let's solve the problem shown in the image. The question has two parts. The first part is already solved, and it gives the total capacity of the cargo container. Let's work on part **b**.

### Part b:
We need to find the volume available for the firm to pack the glass cups inside the cargo container.

#### Steps:

1. **Outer dimensions of the cargo container:**
   - Length = 893 cm
   - Width = 425 cm
   - Height = 285 cm
   - The metallic walls have a thickness of 2.5 cm.

2. **Inner dimensions of the cargo container** (since the metallic walls have thickness):
   - Inner Length = 893 - 2 × 2.5 = 888 cm
   - Inner Width = 425 - 2 × 2.5 = 420 cm
   - Inner Height = 285 - 2 × 2.5 = 280 cm

3. **Volume of the inner cargo container**:
   The volume \( V \) is calculated as:

   \[
   V = \text{Length} \times \text{Width} \times \text{Height}
   \]

Let's calculate this.The available volume inside the cargo container, after accounting for the thickness of the walls, is **104,428,800 cm³**.

Let me know if you need further details, and feel free to ask any questions!

Here are 5 related questions to expand on this topic:
1. How many glass boxes can fit inside the cargo container?
2. What would be the remaining space in the container after filling it with boxes?
3. How would the total volume change if the wall thickness increased?
4. What is the weight capacity of a cargo container like this, if each box weighs a certain amount?
5. How would the number of boxes change if their dimensions increased?

**Tip:** Always account for the space lost to container walls when calculating usable volume.

What is the volume available for the firm to pack the glass cups in the cargo container, if it is filled with boxes? The firm uses boxes with dimensions 74 cm (L), 30 cm (W), and 35 cm (H), and the cargo container has outer dimensions of 893 cm (L), 425 cm (W), and 285 cm (H). The metallic walls of the container are 2.5 cm thick.

Learn how to calculate the available volume inside a cargo container for packing boxes of glass cups. This problem involves geometric volume calculations with dimensional reduction due to wall thickness. Suitable for students in Grades 8-10.

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