The surface area of a three-dimensional figure is the total area covered by all of its surfaces. To find the surface area of different 3D figures, we apply specific formulas based on the shape of the figure. Here are the surface area formulas for some common 3D shapes:

1. Surface Area of a Cube

• Formula:
  $\text{Surface Area} = 6a^2$ Where $a$ is the length of a side of the cube.

2. Surface Area of a Rectangular Prism (Cuboid)

• Formula:
  $\text{Surface Area} = 2lw + 2lh + 2wh$ Where $l$, $w$, and $h$ are the length, width, and height of the prism.

3. Surface Area of a Cylinder

• Formula:
  $\text{Surface Area} = 2\pi r^2 + 2\pi rh$ Where $r$ is the radius of the base and $h$ is the height.

4. Surface Area of a Sphere

• Formula:
  $\text{Surface Area} = 4\pi r^2$ Where $r$ is the radius of the sphere.

5. Surface Area of a Cone

• Formula:
  $\text{Surface Area} = \pi r^2 + \pi r l$ Where $r$ is the radius of the base and $l$ is the slant height.

Would you like a detailed example for any of these shapes? Feel free to ask!

5 Related Questions:

1. How do you find the surface area of a triangular prism?
2. Can you calculate the surface area of a hemisphere?
3. How does the surface area of a hollow cylinder differ from that of a solid one?
4. How do you calculate the surface area of irregular 3D shapes?
5. What is the difference between surface area and volume?

Tip: When finding surface areas, always ensure you account for all the faces of the object, including bases, lateral faces, and curved surfaces.