Geometry/Trig 2Name: __________________________ Total Area and Volume Excel ExplorationDate: ___________________________ 1) Follow the examples to create.

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Geometry/Trig 2Name: __________________________ Total Area and Volume Excel ExplorationDate: ___________________________ 1) Follow the examples to create the calculator for a Rectangular Prism and a Triangle Prism. 2) With your partner, create calculators for each of the following: a) Trapezoidal Prism (see p. 21 #2 for an example) b) Cylinder (see p. 13 #2 for an example) c) Square Pyramid (see p. 21 #1 for an example) d) Cone (see p. 21 #3 for an example) e) Sphere (see p. 24 #1 for an example) 3) Complete the following exercises with your calculator: A) Find the Area of Base, Perimeter of Base, Lateral Area, Total Area, and Volume of a Cylinder with a height of 6 and a radius of 4. Area of Base: __________ Circumference of Base: __________ Lateral Area: __________ Total Area: __________ Volume: __________ Double the radius and observe the affect on your calculations. Area of Base: __________ Circumference of Base: __________ Lateral Area: __________ Total Area: __________ Volume: __________ Describe what you notice. What is the impact of doubling the radius? (Another way to think of this question: which values are affected by doubling the radius and how; which values are not affected?) ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ Change the radius back to 4 and double the height. Area of Base: __________ Circumference of Base: __________ Lateral Area: __________ Total Area: __________ Volume: __________ Describe what you notice. What is the impact of doubling the height? Make sure you compare this to the original calculations. ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________

Geometry/Trig 2Name: __________________________ Total Area and Volume Excel ExplorationDate: ___________________________ 3) Complete the following exercises with your calculator: B) Find the Area of Base, Perimeter of Base, Lateral Area, Total Area, and Volume of a Rectangular Prism with a Length of Base = 5; Height of Base = 7; Height of Prism = 3. Area of Base: __________ Perimeter of Base: __________ Lateral Area: __________ Total Area: __________ Volume: __________ Double each dimension. Area of Base: __________ Perimeter of Base: __________ Lateral Area: __________ Total Area: __________ Volume: __________ Describe what you notice. ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ C) Find the Total Area and Volume of a Sphere with a radius length 14. Total Area: __________ Volume: __________ Cut the radius in half. Total Area: __________ Volume: __________ Describe what you notice. ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________ ____________________________________________________________________________

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