**Kansas Academic Education Standards**. Area is the amount of surface a shape covers. Area is measured in square units, whether the units are inches, feet, meters or centimeters. The area formula for a triangle is: A = 1/2 · b · h, where b is the base and h is the height. The area formula for a circle is: A = π · r², where π is usually 3.14 and r is the radius of the circle. The area formula for a parallelogram is: A = b · h, where b is the
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Study GuideExploring Area and Surface AreaWorksheet/Answer key

Exploring Area and Surface AreaWorksheet/Answer key

Exploring Area and Surface AreaWorksheet/Answer key

Exploring Area and Surface AreaWorksheet/Answer keyExploring Area and Surface Area

KS.7.G. Geometry

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.)

Standards