Grade 6 - Shape and Space
Standard 6.SS.2 - Calculate the volume of cubes and rectangular prisms.
Included Skills: Geometry
Extend and apply understanding of perimeter of polygons, area of rectangles, and volume of right rectangular prisms (concretely, pictorially, and symbolically) including: • relating area to volume • comparing perimeter and area • comparing area and volume • generalizing strategies and formulae • analyzing the effect of orientation • solving situational questions. • Generalize formulae and strategies for determining the perimeter of polygons, including rectangles and squares. • Generalize a formula for determining the area of rectangles. • Explain, using models, the relationship between the area of the base of a right rectangular prism and the volume of the same 3-D object. • Generalize a rule (formula) for determining the volume of right rectangular prisms. • Analyze the effect of orientation on the perimeter of polygons, area of rectangles, and volume of right rectangular prisms. • Solve a situational question involving the perimeter of polygons, the area of rectangles, and/or the volume of right rectangular prisms. • Critique the following statements using concrete or pictorial models: - "For any two right rectangular prisms, the one with the greater volume will be the prism that has the greatest base area". - "For any two rectangles, the rectangle with the greatest perimeter will also have the greatest area".