How would you calculate the surface area of the given figure?
5 cm 5 cm 4 cm 3cm
It is not clear what figure is being referred to based on the given dimensions. A figure needs to be specified in order to calculate its surface area.
To calculate the surface area of the given figure, we need to determine the individual areas of each face and then add them together.
1. Identify the faces of the figure: Based on the given dimensions, it appears that the figure is a rectangular box or cuboid.
2. Determine the dimensions of each face: The dimensions provided indicate that the length (L) of the figure is 5 cm, the width (W) is 5 cm, the height (H) is 4 cm, and another side is 3 cm.
3. Calculate the area of each face:
- There are two faces with dimensions 5 cm x 5 cm, representing the top and bottom faces. Therefore, the area of each of these faces is 5 cm x 5 cm = 25 cm².
- There are two faces with dimensions 5 cm x 4 cm and 5 cm x 3 cm, representing the front and back faces. Therefore, the area of each of these faces is 5 cm x 4 cm = 20 cm² and 5 cm x 3 cm = 15 cm² respectively.
- Finally, there are two faces with dimensions 4 cm x 3 cm, representing the two side faces. Therefore, the area of each of these faces is 4 cm x 3 cm = 12 cm².
4. Add up the areas of all the faces: Add the areas of all the faces together:
25 cm² + 25 cm² + 20 cm² + 15 cm² + 12 cm² + 12 cm² = 109 cm²
Therefore, the total surface area of the given figure is 109 cm².