The Stage Takes Shape!! The popular music group, The Geometrics, wants to play a special concert at Hammarskjold, but they need a stage crew to help. The.

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Presentation transcript:

The Stage Takes Shape!! The popular music group, The Geometrics, wants to play a special concert at Hammarskjold, but they need a stage crew to help. The first step for the Geometrics Stage Crew is building an elaborate stage featuring differently shaped sections. First, they want a main stage that is rectangular-shaped, measuring a length of 24 feet and a width of 16 feet. What are the perimeter and area of that stage? Perimeter:Area: A. Second, the band’s lead guitarist wants the Geometrics Stage Crew to build a smaller circular stage in front of the main stage that he can step onto and play a solo. The diameter is 8 feet. What is the circumference and area? Round your answer to the nearest foot.B. Circumference: Area: The bass player has a thing for triangles and sees herself on a triangular platform off to the left of the stage. When viewed from above, the right triangle has a height of 8 feet, a base of 6 feet and a third side (called the hypotenuese) of 10 feet. What is the perimeter and area?C. Perimeter:Area:

That Should Cover it!! The Geometrics love shapes. For their props they have built a human-size rectangular prism and cylinder. While the props are built, they have asked the Geometrics Stage Crew to paint over them completely (even the bottoms). The stage crew knows that 1 gallon of paint covers 350 square feet. The dimensions of the rectangular prism are: height = 7 feet, width = 4 feet, and length = 3 feet. Surface Area: A. B. The dimensions of the cylinder are: height = 7 feet and radius = 3.5 feet. Solve with a decimal and then round to the nearest half foot. Surface Area: Can the stage crew paint the surface area of both shapes with just one gallon of paint? Prove your answer.C.

Pack it Up!! The Geometrics Stage Crew now has to transport the props to the concert. They have to make sure the van they have is big enough to carry the props. The dimensions of the objects again are: Rectangular Prism: Height = 7 feet, width = 4 feet and length = 3 feet Cylinder: radius = 3.5 feet and height = 7 feet The instruments will take up about 37 cubic feet. What is the volume of the rectangular prism?A.Volume: What is the volume of the cylinder?B.Volume: The van cargo space measures 8 feet tall by 5 feet wide by 13 feet deep. What is the volume of the cargo space?C. Volume: Based on the volume measurements, will all the objects fit in the van? Prove your answerD.