# Determine the perimeter and area & volume of the following shapes.

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MAP4C Name: BACH Unit 2 Assessment – GEOMETRY 1. Determine the perimeter and area of the following shapes. Round your answer to one decimal place and SHOW ALL YOUR WORK: Perimeter  Perimeter  25.13+ 8+122 =14.42221 Area  Area  What is the perimeter in inches?  Recall: 2.54 cm = 1 inch. What is the area in square feet?  Note: 1 m2 = 10.8 ft2 2. Determine the Volume and Surface Area for each shape: Volume  Volume  Surface Area  Surface Area  3. Complete the following sentences …  (a) When constructing a rectangle for a given area, the perimeter will be minimized when the shape is a ____________________. (b) When constructing a rectangular prism for a given volume, the shape that will minimize the surface area is a ___________________. 4. (a) You have been hired to build a rectangular garden using 32 railway ties that are 2 m in length each. How should you build the garden in order to maximize the area (what are the dimensions)? What is the maximum area? Show your work.  Dimensions: Max Area: (b) How would your answer change if you were asked to build the garden against the client’s house? Remember, the side against the house does not need the ties, but all 32 must be used. Sketch a diagram of your final answer and state your updated dimensions. What is the new maximum area?  Dimensions: Max Area: 5. A rectangular prism with surface area 600 square cm is to be constructed with a maximum volume. What will be its dimensions? What is the maximum volume?  Dimensions: Volume: 6. A tub of spaghetti sauce is to contain 2000 cubic cm in the shape of a cylinder. What dimensions of the cylinder will minimize the amount of tin needed for the can? Show your work. What is the minimum amount of tin required?  Dimensions: r = h = Minimum Surface Area =

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