8.7

The student will

a)   investigate and solve practical problems involving volume and surface area of prisms, cylinders, cones, and pyramids; and

b)   describe how changing one measured attribute of a figure affects the volume and surface area.

Essential Knowledge and Skills  (Full Curriculum Framework for this SOL)

• Distinguish between situations that are applications of surface area and those that are applications of volume.
• Investigate and compute the surface area of a square or triangular pyramid by finding the sum of the areas of the triangular faces and the base using concrete objects, nets, diagrams and formulas.
• Investigate and compute the surface area of a cone by calculating the sum of the areas of the side and the base, using concrete objects, nets, diagrams and formulas.
• Investigate and compute the surface area of a right cylinder using concrete objects, nets, diagrams and formulas.
• Investigate and compute the surface area of a rectangular prism using concrete objects, nets, diagrams and formulas.
• Investigate and compute the volume of prisms, cylinders, cones, and pyramids, using concrete objects, nets, diagrams, and formulas.
• Solve practical problems involving volume and surface area of prisms, cylinders, cones, and pyramids.
• Compare and contrast the volume and surface area of a prism with a given set of attributes with the volume of a prism where one of the attributes has been increased by a factor of 2, 3, 5 or 10.
• Describe the two-dimensional figures that result from slicing three-dimensional figures parallel to the base (e.g., as in plane sections of right rectangular prisms and right rectangular pyramids). 

Textbook Correlation