To determine the surface area of the new shape formed by joining four identical cubes, we need some additional information about how the cubes are arranged. There are several possible ways to join the cubes, resulting in different shapes.
If the cubes are arranged in a square-based pyramid formation, with three cubes forming the base and the fourth cube placed on top, the new shape would have a total surface area given by:
Surface Area = 3 × (Surface Area of a Cube) + (Surface Area of the Top Cube)
The surface area of a cube is calculated by multiplying the length of one side by itself and then multiplying the result by 6 (since a cube has 6 faces of equal size). Since the cubes are identical, the side length is the same for all of them.
If you provide the side length of the cubes or any specific arrangement of the cubes, I can help you calculate the surface area of the resulting shape accordingly.