The question asks for the height of a cuboid with the following information:

• The volume of the cuboid is 275 cm³.
• The base area is 25 cm².

We can solve this by using the formula for the volume of a cuboid:

$\text{Volume} = \text{Base Area} \times \text{Height}$

We know the volume and the base area, so we can rearrange the formula to solve for the height:

$\text{Height} = \frac{\text{Volume}}{\text{Base Area}}$

Substituting the given values:

$\text{Height} = \frac{275 \, \text{cm}^3}{25 \, \text{cm}^2} = 11 \, \text{cm}$

Therefore, the height of the cuboid is 11 cm.

Do you need further details or clarifications on this?

Here are some related questions:

1. How do you calculate the volume of different 3D shapes?
2. What are the units of volume and area?
3. How do you rearrange formulas to solve for different variables?
4. Can the same formula be applied to other rectangular solids?
5. What is the difference between surface area and volume in geometry?

Tip: When solving geometry problems, always check the given information for units, and ensure consistency in your calculations.