Answer
Here are two different cuboids with a total volume of \(40\, \mathrm{m}^{3}\):
---
**Cuboid 1:**
- **Dimensions:** 5m (Length) × 2m (Width) × 2m (Height)
- **Volume:** 20\, \mathrm{m}^{3}
**Cuboid 2:**
- **Dimensions:** 4m (Length) × 2m (Width) × 2.5m (Height)
- **Volume:** 20\, \mathrm{m}^{3}
**Total Volume:** 40\, \mathrm{m}^{3}
---
These cuboids have different dimensions but together they occupy a total volume of \(40\, \mathrm{m}^{3}\).
Solution
Sure, I'd be happy to help with that! Below are two different cuboids whose volumes sum up to \(40\, \mathrm{m}^{3}\). I'll provide their dimensions and simple ASCII drawings to illustrate their shapes. Please note that the drawings are not to scale.
---
### **Cuboid 1**
**Dimensions:**
- **Length (L):** 5 meters
- **Width (W):** 2 meters
- **Height (H):** 2 meters
**Volume Calculation:**
\[
\text{Volume} = L \times W \times H = 5\, \text{m} \times 2\, \text{m} \times 2\, \text{m} = 20\, \mathrm{m}^{3}
\]
**ASCII Drawing:**
```
+-----------+
| |
| | 2m
| |
+-----------+
5m
```
*Top View:*
```
+-----------+
| |
| |
+-----------+
5m x 2m
```
---
### **Cuboid 2**
**Dimensions:**
- **Length (L):** 4 meters
- **Width (W):** 2 meters
- **Height (H):** 2.5 meters
**Volume Calculation:**
\[
\text{Volume} = L \times W \times H = 4\, \text{m} \times 2\, \text{m} \times 2.5\, \text{m} = 20\, \mathrm{m}^{3}
\]
**ASCII Drawing:**
```
+-----------+
| |
| | 2.5m
| |
+-----------+
4m
```
*Top View:*
```
+-----------+
| |
| |
+-----------+
4m x 2m
```
---
### **Total Volume**
\[
\text{Total Volume} = 20\, \mathrm{m}^{3} + 20\, \mathrm{m}^{3} = 40\, \mathrm{m}^{3}
\]
---
Feel free to adjust the dimensions as needed, as there are infinitely many combinations of lengths, widths, and heights that can give you a total volume of \(40\, \mathrm{m}^{3}\). Let me know if you need further assistance or more examples!
Answered by UpStudy AI and reviewed by a Professional Tutor
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