E2.3 Solve problems involving the perimeter, circumference, area, volume, and surface area of composite two-dimensional shapes and three-dimensional objects, using appropriate formulas.
Activity 1: Lemonade Container (Volume and Total Area)
Create a scale drawing of a structure that will serve as a container for lemonade sold by a new business. It must be composed of at least two objects (prisms and/or cylinders). One third of this structure, made of thin aluminum, should be painted blue, and the rest should be painted yellow.
- Calculate the total internal volume (capacity) of this container.
- If a small can of yellow aluminum paint covers 400 square centimeters, how many cans would be needed to cover the yellow area?
Activity 2: Snowman (Volume, Circumference, Total Area)
Create a scale drawing of a snow structure that will be composed of at least five objects (prisms and/or cylinders). Determine the volume of snow that will be needed to create the structure.
- If, to create your snow structure, you fill a cylindrical container 50 cm high with snow to the brim, what is the circumference required to hold all the snow needed for your structure?
- If you wanted to cover it completely with fabric, what would be the area of the fabric?