Jackson has a cube. Each edge of the cube is 5 centimeters long, as shown below. Part A Jackson paints every face of the cube. What is the total surface area, in square centimeters, of the cube Jackson paints? Be sure to show your work and explain your reasoning. Part B After the paint dries, Jackson cuts the cube in half. He makes the cut along the diagonal of one pair of
parallel faces. Rounded to the nearest thousandth, the diagonal has a length of 7.071 centimeters. Once the cut is made, Jackson has two identical triangular prisms. What is the combined area, in square centimeters, of the surfaces of the two prisms that were not painted? Develop a plan for solving Part C of the problem. List the steps in the order that you will take to solve the problem Part C Jackson has a second cube identical to the first. He cuts off the triangular prism as shown below and throws it away. What is the volume, in cubic centimeters, of the remaining solid? Show or explain all your work. Reflection: Think back to the plan you developed for Part C during the Pre-Write section. Now that you have had time to work out the problems and to review the process, does the plan you developed match the work you completed? Explain how creating the plan helped in solving the problem. If your plan did not match the work you completed, determine if you need to adjust the plan or adjust your work. Explain what you did. If you were able to give advice to future students, what would be one mistake you would advise them to avoid for one of those concepts?