Final answer:
The total surface area of the cube is 54.0 m², which is calculated by dividing the total material used (13.5 m²) by 6 to get the area per face and then multiplying by 6 to get the total surface area.
Step-by-step explanation:
The total surface area of the cube is 54.0 m². This is calculated by knowing that a cube has 6 faces of equal area. Since the material used covered the entire cube, we can divide the area of material used (13.5 m²) by 6 (the number of faces) to get the area of one face. Hence, 13.5 m² / 6 = 2.25 m² per face. To find the total surface area, we then multiply the area of one face by 6, resulting in 2.25 m² * 6 = 13.5 m². The answer is: D. 54.0 m².
To find the total surface area of the hollow sugar cube, we need to know the surface area of each face and then calculate the sum of all the faces. Since we know the material used to build the cube has a surface density of 13.5 m², we can divide this by the number of faces to find the surface area of each face. There are 6 faces in a cube, so each face would have an area of 13.5 m² / 6 = 2.25 m². Therefore, the total surface area of the cube is 2.25 m² x 6 = 13.5 m². Therefore, the correct answer is A. 10.5 m².