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The question provided asks to find the height of an aquarium with the following information:

- It has a square base with an area of **36 in²**.
- The aquarium holds a volume of **360 in³** of water.

To find the height of the aquarium, we use the formula for the volume of a rectangular prism (which an aquarium typically is):

\[
V = \text{base area} \times \text{height}
\]

Given that:

- The volume \( V = 360 \, \text{in}^3 \),
- The base area \( A = 36 \, \text{in}^2 \),

We substitute the known values into the equation and solve for the height \( h \):

\[
360 = 36 \times h
\]

Now, divide both sides by 36:

\[
h = \frac{360}{36} = 10 \, \text{inches}
\]

Therefore, the height of the aquarium is **10 inches**.

The correct answer is **B. 10 in.**

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Would you like further details, or do you have any questions?

Here are 5 related questions to extend your understanding:

1. How do you calculate the height if the base was not square?
2. What would happen to the height if the volume increased to 720 in³ while keeping the same base area?
3. How would you calculate the side length of the square base if only the area is given?
4. What is the significance of using cubic inches for volume and square inches for area?
5. How does the shape of the base affect the volume of the aquarium?

**Tip**: When calculating volume, always ensure units for all dimensions are consistent to avoid mistakes!

The aquarium above has a square base with an area of 36 in² and can hold a volume of 360 in³ of water. What is the height of this aquarium?

Learn how to calculate the height of an aquarium with a square base of 36 in² and a volume of 360 in³. This problem demonstrates the application of volume calculation for a rectangular prism and basic algebraic manipulation. Suitable for Grades 6-8 students.

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