Kansas Academic Standards
Solve real-life and mathematical problems involving area, surface area, and volume.
7.G.4. Use the formulas for the area and circumference of a circle and solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
7.G.5. Investigate the relationship between three-dimensional geometric shapes;
7.G.5b. Generalize the surface area formula for prisms and cylinders (ݑưݐ = 2ݐ +հݑâĎ where B is the area of the base, P is the perimeter of the base, and h is the height (in the case of a cylinder, perimeter is replaced by circumference)).
7.G.6. Solve real-world and mathematical problems involving area of two-dimensional objects and volume and surface area of three-dimensional objects including cylinders and right prisms. (Solutions should not require students to take square roots or cube roots. For example, given the volume of a cylinder and the area of the base, students would identify the height.)