Solids
For problems #1 through #6, state the term that will fill in the blank with the geometric term that best fits the description. Choose from the terms below.
pyramid cone rectangular prism
Cube sphere cylinder
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7) Now let’s make a cylinder. Notice the cylinder has two circular faces and one face that make a rectangle when it is laid out flat. Click here to print out the net. Cut out this net and construct a cylinder. Fold the flaps. Use small pieces of tape on the flaps to hold the side and two tops together. State one keyword that will help you remember the shape of a cylinder.
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9) Now let’s make a pyramid. Click here to print out the net. Cut out this net and construct a pyramid. Fold the flaps. Use small pieces of tape on the flaps to hold the sides together. State one keyword that will help you remember the shape of a pyramid.
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11) Now let’s make a triangular prism. Click here to print out the net. Cut out this net and construct a triangular prism. Fold the flaps. Use small pieces of tape on the flaps to hold the prism together. State one keyword that will help you remember the shape of a triangular prism.
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Prisms
Use the rectangular prism to answer questions #13 through #16.
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13) How many vertices are in this figure? Name them.
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14) How many edges are in this figure? Name three edges using the letters that represent the endpoints of the line segments formed by the edges.
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15) How many faces are in this figure? Name one of them using four letters that represent the corners of the rectangular faces.
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16) How many diagonals could be drawn for Face DCGH? Name them using two letters that would represent the endpoints of the diagonal.
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17) Pictured is a 3-D object made from marshmallows and toothpicks. The colored squares were put on the shape to show one side’s 2-D view. Build a 3-D object made from cubes. Use at least ten cubes. You may use more. If you don't have cube blocks, look around the house for something to make cubes with. One easy way is to use toothpicks and marshmallows. Build the cube by using the marshmallows as vertices and the toothpicks as edges. Then stack them like cubes. These are fun to make. How many cubes did you use for your 3-D object?
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18) Describe the 3-D structure that you created for #15, stating how many blocks are in each level and how they are stacked.
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19) Sketch three different 2-D views for the 3-D structure you created in #15. Describe the sketch for each view by stating how many squares are in the view and how they are positioned.
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21) A circle has a radius of 6 cm. Find its area and its circumference.
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22) Double the radius of the circle in problem #21. State the letter and then answer for each problem given.
a. Find the new circle's area
b. How many times larger is the area of the new circle than the area of the original circle?
c. Find the new circle’s circumference.
d. How many times larger is the circumference of the new circle than the circumference of the original circle?
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23) Does this design tessellate a plane? (Hint: Use copy and paste to check it out.)
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24) Here are two similar triangles. How are their angles connected and how are their sides connected?
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25) Fill in the blank with the metric prefix that corresponds to the correct math equivalent. Choose from the terms below. State the letter and the metric prefix.
milli centi deci kilo
__________a. 1000
__________b. 1/10
__________c. 1/100
__________d. 1/1000
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Refer to this triangle to answer questions #26 and #27.
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26) Measure this triangle’s base and height to the nearest millimeter. State the base and height, state the area, and define the area.
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27) Measure the length of the three edges of the above triangle to the nearest millimeter. State the measurement of each of the edges, state the perimeter, and define perimeter.
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28) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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