Polyhedraville Grade Sheet- Compacted

Transcription

1 Name: Period: Due: May 22 Partner Name: City Color: Plot #: /12 points Edges, Faces & Vertices Chart Polyhedraville Grade Sheet- Compacted Do not lose your laminated land plot planning sheet. Two points extra credit will be awarded when it is turned in with the project. You must do 3 different nets. You and your partner may only have 1 net that has the same dimensions. The other two nets must have different dimensions. You may choose from a pyramid, prism, rectangular prism, square prism, cylinder and cone. Use the check off sheet to help you earn all points possible. /35 points each (Total of 105 points)- Nets: Choose 3 out of 4 shapes: pyramid, prism, cylinder or cone. Only 1 net may have the same dimensions as your partner. o Type of shape listed o Net drawn correctly on graph paper o Net cut out & attached o Business Name o Dimensions labeled on all faces of net o Area written on every face of net o Surface area calculated & labeled o Volume calculated & labeled (except for cone) /12 points each (Total of 36 points)- Polyhedraville Buildings o Must have 3 out of 4 buildings present on land plot: pyramid, prism, cylinder or cone. The buildings do not have to be free standing; they can be put together with other buildings. o Store front Title must be on every building, even if they are put together. o Tape must be on the inside o Tape/ glue buildings on land plot so that the tape doesn t show o Buildings must be neatly folded & creased o Creative extras on building- doors, windows, building details /42 points Polyhedraville Land Plot Team Grade o Overall Appearance must be neat & organized o 6 Buildings present, whether they are free-standing or put together o Buildings don t block roads o Grounds are covered neatly o Roads have stripes & are straight o Roads & stripes fit together with neighboring plots o Creative extras enhance land plot /+7 points Extra Credit to be earned o +3 Elected Mayor o +2 Elected Sheriff o +2 Laminated land plot planning sheet turned in o +2 One person only on land plot /195 Total points 1

2 Compacted: Choose 3 different nets ( 1 from each group) Must complete the chart for all 4 shapes. Having trouble Google it! Number of Edges Number of Faces Number of Vertices Rectangular Prism Pyramid Cylinder Cone 2

3 City Color: Plot #: Type of Prism: ( Rectangular Prism Scale: 1 square = 1 inch Triangular Prism Area Formulas: Rectangle/ Square: A=lw Cube Triangle: A = ½bh or A = bh 2 Volume Formulas: Rectangular Prism: V = lwh (Length Width Height) Cube: V = s 3 s = side Triangular Prism: V = Bh V= (Area of Triangle) height of rectangle Directions: 1. Draw a net on graph paper using the scale. 2. Write dimensions on net on graph paper. Draw in tabs. 3. Cut, fold and test your net 4. If it works glue stick or staple the net to this paper. If it doesn t work, redo. 5. Find the area of each face and write it on the net. Use the area formulas to help you. 6. Find the surface area of the net by adding up all the areas. Total Surface Area: 7. Find the volume of your net by using one of the volume formulas above. 8. Write the formula, plug in the values, solve and label. Total Volume: Business Name: 3

4 City Color: Plot #: Scale: 1 square = 1 inch Type of Pyramid: Triangular Pyramid Area Formulas: Rectangle/ Square: A=lw Square Pyramid Rectangular Pyramid Triangle: A = ½bh or A = bh 2 Volume Formulas: Rectangular or Square Pyramid: V = lwh h = inside height of pyramid Triangular Pyramid: V = 1 3 Bh B= area of base triangle. s = slant height (height of triangle) h = inside height of pyramid) 3 Directions: 1. Draw a net on graph paper using the scale. 2. Write dimensions on net on graph paper. Draw in tabs. 3. Cut, fold and test your net 4. If it works glue stick or staple the net to this paper. If it doesn t work, redo. 5. Find the area of each face and write it on the net. Use the area formulas to help you. 6. Find the surface area of the net by adding up all the areas. Total Surface Area: 7. Find the volume of your net by using one of the volume formulas above. 8. Write the formula, plug in the values, solve and label. Total Volume: Business Name: 4

5 City Color: Plot #: Scale: 1 square = 1 inch Cylinder Circumference Formula: C = πd Use 3.14 for π This gives you the measure of the base (b) of the rectangle. d = diameter r = radius h r Surface Area Formula A = 2πr² + 2πrh r = radius of circle h = height of rectangle b d π = 3.14 Volume Formula V = πr²h Directions: 1. To find out how big to make the rectangle, you must find the circumference of the circle. This will give you the base of the rectangle. Total Circumference of Circle: 2. Draw a net on graph paper using the scale. 3. Write on the dimensions for your net. 4. Cut, fold and test your net 5. If it works tape/staple the net to this paper. If it doesn t work, redo. 6. Find the area of each face and write it on the net. Use the area formulas to help you. 7. Write the formula, plug in the values, find the surface area and label on the back of this page. Total Surface Area: 8. Find the volume of your net by using the volume formula. 9. Write the formula, plug in the values, solve and label on the back of this page. Total Volume: 5

6 Radius = Diameter = Height of Rectangle = Business Name: Workspace for Cylinder. 6

7 City Color: Plot #: Scale: 1 square = 1 inch Cone Circumference Formula: C = πd Use 3.14 for π s r Surface Area Formula A = πrs + πr² s r = radius of circle s = slant height (look at net & estimate) π = 3.14 Directions: 1. Find the circumference of the circle using the circumference formula. Total Circumference of Circle: 2. Draw a net on graph paper using the scale. 3. Write on the dimensions for your net. 4. Cut, fold and test your net 5. If it works tape/staple the net to this paper. If it doesn t work, redo. 6. Find the slant height & radius of circle. 7. Write the formula, plug in the values, find the surface area and label below. Total Surface Area: Business Name: Radius = Diameter = Slant Height = 7

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