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Determine the volume of a rectangular pencil holder.

[tex]\[ V = L \times b \times h \][/tex]

Given:
[tex]\[ L = 10 \, \text{cm}, \, b = 8 \, \text{cm}, \, h = 15 \, \text{cm} \][/tex]

[tex]\[ V = 10 \, \text{cm} \times 8 \, \text{cm} \times 15 \, \text{cm} \][/tex]

[tex]\[ V = 1200 \, \text{cm}^3 \][/tex]

Which pencil holder has a bigger capacity?



Answer :

GinnyAnswer
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.

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