To find the height of the cuboid, we can use the formula for the volume of a cuboid:

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

From the given problem:

• Volume of the cuboid = $275 \, \text{cm}^3$
• Base area = $25 \, \text{cm}^2$

Now, substitute these values into the formula:

$275 = 25 \times \text{Height}$

Solve for the height:

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

So, the height of the cuboid is 11 cm.

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Would you like a more detailed explanation or have any further questions? Here are some related questions:

1. How would the volume change if the base area were doubled?
2. What would happen to the volume if the height was halved?
3. How can you calculate the surface area of a cuboid?
4. What are the units for the volume and surface area of a cuboid?
5. How do you find the volume of a cuboid with irregular dimensions?

Tip: Always check the units in any formula to ensure they match for accurate results!