Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rates of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now, with the rate equation known, we can solve for the rate of change of the surface area with what we know about the cube, namely that its sides have a length of 11 and a rate of growth of 30:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rates of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now, with the rate equation known, we can solve for the rate of change of the surface area with what we know about the cube, namely that its sides have a length of 10 and a rate of growth of 31:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rates of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now, with the rate equation known, we can solve for the rate of change of the surface area with what we know about the cube, namely that its sides have a length of 9 and a rate of growth of 32:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rates of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now, with the rate equation known, we can solve for the rate of change of the surface area with what we know about the cube, namely that its sides have a length of 8 and a rate of growth of 33:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rate of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now that we have a relationship between the surface area and the side parameters, we can use what we were told about the cube, in particular that its sides have a length of 7 and a rate of growth of 34:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rate of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now that we have a relationship between the surface area and the side parameters, we can use what we were told about the cube, in particular that its sides have a length of 6 and a rate of growth of 35:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rate of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now that we have a relationship between the surface area and the side parameters, we can use what we were told about the cube, in particular that its sides have a length of 5 and a rate of growth of 36:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rate of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now that we have a relationship between the surface area and the side parameters, we can use what we were told about the cube, in particular that its sides have a length of 4 and a rate of growth of 37:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rate of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now that we have a relationship between the surface area and the side parameters, we can use what we were told about the cube, in particular that its sides have a length of 3 and a rate of growth of 38:

Begin by writing the equations for a cube's dimensions. Namely its surface area in terms of the length of its sides:

The rate of change of the surface area can be found by taking the derivative of each side of the equation with respect to time:

Now that we have a relationship between the surface area and the side parameters, we can use what we were told about the cube, in particular that its sides have a length of 2 and a rate of growth of 39: