Question

If the solid figure was cut along the dotted line, which statements would be true? Check all that apply.

Nothing would change.
The surface area would increase.
The volume would remain constant.
The surface area would decrease.
The volume would increase.

Answer 1

To provide accurate answers, I'll make some assumptions about the nature of the solid figure and the effect of cutting along a dotted line. Generally, when a solid figure is cut:

1. **Nothing would change** - This statement is likely **false** because cutting the solid generally creates additional surfaces.

2. **The surface area would increase** - This statement is likely **true**, as cutting a solid figure typically adds more surface area due to the newly created faces.

3. **The volume would remain constant** - This statement is **true**, as cutting the solid does not change the amount of space it occupies, meaning the total volume remains the same.

4. **The surface area would decrease** - This statement is **false**, for the same reason as the second statement; cutting creates additional surface area.

5. **The volume would increase** - This statement is **false**, as cutting does not add to the volume of the solid.

So, if we were to summarize the true statements based on these typical characteristics of cutting a solid figure:

- The surface area would increase.
- The volume would remain constant.

If you have a specific figure in mind, please describe it for more tailored responses!