determine the area of one face of the cube
the height is 9 square inches
To determine the area of one face of the cube, we first need to calculate the total surface area of the cube. The surface area of a cube is given by the formula SA = 6s^2, where s is the length of one side of the cube.
Since all sides of a cube are equal, we can find the length of one side by taking the square root of the height of the cube. In this case, the height is given as 9 square inches. So, if we take the square root of 9, we get s = 3 inches.
Now, we can plug this value into the formula for the surface area of the cube:
SA = 6 * (3)^2 = 6 * 9 = 54 square inches
Since there are 6 faces on a cube, each face would have an area of 54 square inches / 6 = 9 square inches.
Therefore, the area of one face of the cube is 9 square inches.