Surface Area Of Cube Cuboid And Cylinder

To solve the problem, we are given:

• Curved Surface Area (CSA) of the cylinder = 264 m²
• Volume of the cylinder = 924 m³

1. Formulas to Use:
- Curved Surface Area of a cylinder:
- Volume of a cylinder:

2. Use CSA to Find Radius in Terms of Height:

From

Divide both sides by :

(Equation 1)

3. Use Volume Formula:

Substitute from Equation 1:

Multiply both sides of Equation 1 by :

So:

Now solve for :

4. Substitute in Equation 1 to Get Height:

Use :

Final Answer:
The height of the cylinder is .

To solve the problem, we need to find the volume of a cube whose total surface area is given as .

1. Understanding the Surface Area of a Cube:
The total surface area of a cube is given by:


where is the length of the side of the cube.

2. Substituting the Given Value:
We are given , so:

3. Solving for Side Length :
Divide both sides by 6:

Now take the square root:

4. Calculating the Volume:
The volume of a cube is given by:

Substitute :

Final Answer:
The volume of the cube is .