Answered

IDNLearn.com provides a collaborative environment for finding and sharing knowledge. Whether it's a simple query or a complex problem, our community has the answers you need.

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?

Sagot :

GinnyAnsweridn
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.
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.