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The image you've uploaded shows several mathematical problems. Let me go through each one and help with solutions:

1. **First Question (Top of Image):**
   *"The diagram on the right is a kite. Calculate the area of the kite."*
   
   The dimensions of the kite seem to be \( 12 \, \text{cm} \) (height) and \( 10 \, \text{cm} \) (width). The formula for the area of a kite is:
   \[
   \text{Area of Kite} = \frac{1}{2} \times d_1 \times d_2
   \]
   where \( d_1 \) and \( d_2 \) are the lengths of the diagonals.
   
   Since only the height and width are provided, we assume these correspond to the diagonals.

   \[
   \text{Area} = \frac{1}{2} \times 12 \times 10 = 60 \, \text{cm}^2
   \]

2. **Second Question:**
   *"Calculate the volume of a cube."*

   It appears there's a cube with a side length of \( 6 \, \text{cm} \). The formula for the volume of a cube is:
   \[
   \text{Volume of Cube} = s^3
   \]
   where \( s \) is the side length of the cube.

   \[
   \text{Volume} = 6^3 = 216 \, \text{cm}^3
   \]

3. **Third Question (Cylinder Problem):**
   *"The diagram shows a cylinder with a radius of 4 cm and a volume of 704 cm³. Calculate the height of the cylinder."*

   The formula for the volume of a cylinder is:
   \[
   \text{Volume of Cylinder} = \pi r^2 h
   \]
   where \( r \) is the radius and \( h \) is the height.

   We can rearrange the formula to solve for \( h \):
   \[
   h = \frac{\text{Volume}}{\pi r^2}
   \]

   Plugging in the values:
   \[
   h = \frac{704}{\pi \times 4^2} = \frac{704}{\pi \times 16}
   \]

   Now, let me calculate that for you.

The height of the cylinder is approximately \( 14.01 \, \text{cm} \).

Would you like further details on any of these solutions or help with another topic? Here are five related questions to explore:

1. How do you calculate the area of other polygons like triangles and trapezoids?
2. What is the formula for the surface area of a cube?
3. Can you derive the formula for the volume of a cylinder from first principles?
4. How would you calculate the diagonal of a cube?
5. How does the formula for the area of a kite relate to that of a rhombus?

**Tip:** Always make sure units are consistent when solving problems involving geometry (e.g., all in cm, m, etc.).

The diagram shows a kite, a cube, and a cylinder. The user is asked to calculate the area of the kite, the volume of the cube, and the height of the cylinder given its volume and radius.

This problem involves calculating the area of a kite using its diagonals, the volume of a cube given the side length, and the height of a cylinder when its radius and volume are provided. Learn the key formulas and concepts related to solid geometry and basic area calculation.

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