If a cube is 9 inches tall in height and that's all the information we have, how can we determine the area of one face of the cube. (square inches), and determine the total surface area of the cube. (square inches)
To determine the area of one face of the cube, we know that a cube has 6 equal square faces. Since the cube is 9 inches tall, we can conclude that each face has an area of 9 inches x 9 inches = 81 square inches.
To find the total surface area of the cube, we can calculate the surface area of all 6 faces. Since all faces are identical, the total surface area is 6 times the area of one face. Therefore, the total surface area of the cube is 6 x 81 square inches = 486 square inches.