7. As part of the celebration, the hospitality class will bake and donate a cake that you design. In creating your masterpiece, you MUST include in your design three of the three-dimensional shapes you have studied in this unit (YOU MUST USE THREE DIFFERENT SHAPES - rectangular prism, cylinder, cone, pyramid, etc.) The cake will be tiered, like a wedding cake. It should be large enough to feed your guests. a) Using GeoGebra, or a hand drawn sketch (must be clear and accurate), include a sketch with appropriate dimensions of the basic cake design. MUST HAVE DIMENSIONS ON YOUR CAKE ILLUSTRATION – whether it digital or hand drawn. *units must be included, length, width, height, radius, etc. (4 marks)

b) Remember, the cake should be large enough to feed the size of group that you are inviting, so you should calculate the volume of the cake, showing your work. YOU MUST START BY STATING THE FORMULA OF THE SHAPE AND USE THE CORRECT UNITS. Show all calculations. (5 marks)

c) As well, the hospitality students need to know how much icing is required for the cake. Determine the surface area that needs to be iced, based on the design of your cake. The icing will only be placed on the exterior of your cake, not under the cake where two shapes meet. (Remember that not all surfaces, like the bottom, will necessarily have icing on them). START WITH THE FORMULA and Show all your calculations. (5 marks)