To determine the volume of a rectangular pencil holder and compare it to the given volume, let's follow these steps:
### Step-by-Step Solution
1. Dimensions of the Pencil Holder:
- Length (L): 10 cm
- Width (W): 8 cm
- Height (H): 15 cm
2. Calculate the Volume:
- The formula to calculate the volume of a rectangular prism is:
[tex]\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
\][/tex]
- Plugging in the provided dimensions:
[tex]\[
\text{Volume} = 10 \, \text{cm} \times 8 \, \text{cm} \times 15 \, \text{cm}
\][/tex]
[tex]\[
\text{Volume} = 1200 \, \text{cm}^3
\][/tex]
3. Given Volume for Comparison:
- The given volume is 1200 cm³.
4. Compare the Volumes:
- The calculated volume of the pencil holder is 1200 cm³.
- The given volume for comparison is 1200 cm³.
- Since both volumes are equal, we conclude that both pencil holders have the same capacity.
### Conclusion
Therefore, both the calculated pencil holder and the given pencil holder have the same capacity.
