An outdoor art display is a metal cube with edge length 66 feet. What is the volume of the cube in cubic​ feet? In cubic​ yards?
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Part 1
The volume of the cube is 
  
enter your response here cubic feet.

To find the volume of a cube, use the formula:  

\[
V = s^3
\]

where \( s \) is the edge length of the cube.

### Step 1: Calculate the Volume in Cubic Feet
Given that the edge length is 66 feet:

\[
V = 66^3 = 66 \times 66 \times 66 = 287,496 \text{ cubic feet}
\]

### Step 2: Convert to Cubic Yards
Since there are **3 feet in a yard**, the volume conversion is:

\[
1 \text{ cubic yard} = 3^3 = 27 \text{ cubic feet}
\]

So, converting:

\[
V = \frac{287,496}{27} = 10,648 \text{ cubic yards}
\]

### Final Answer:
- **Volume in cubic feet**: **287,496 ft³**  
- **Volume in cubic yards**: **10,648 yd³**

Would you like more details on the conversion process?  

### Related Questions:
1. What is the surface area of the cube in square feet?
2. How much material would be needed to cover the entire surface of the cube?
3. If the cube were filled with water, how many gallons would it hold? (1 cubic foot ≈ 7.48 gallons)
4. How does the volume change if the edge length doubles?
5. What is the diagonal of the cube from one corner to the opposite corner?

#### Math Tip:
When converting between cubic measurements, always remember that volume scales by the **cube** of the linear conversion factor (e.g., feet to yards: \( 3^3 = 27 \)).

An outdoor art display is a metal cube with edge length 66 feet. What is the volume of the cube in cubic​ feet? In cubic​ yards?

Learn how to calculate the volume of a cube with an edge length of 66 feet, and convert the result to cubic yards. The volume is 287,496 cubic feet, or 10,648 cubic yards. Suitable for students in Grades 7-9.

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