Solids
Fill in the blank with the solid that is described in problems #1 through #7. Choose from these solids: triangular prism, pyramid, rectangular prism, cube, sphere, cylinder, and cone.
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| 1) A __________ has a polygon for its base and triangles for its sides which meet at one vertex.
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| 2) A __________ has two circular bases and a curved surface.
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| 3) A __________ is a rectangular prism with all sides are congruent.
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| 4) A __________ has a curved surface, a circular base, and one vertex.
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| 5) A __________ is one continuous curved surface where all of its points are the same distance from a center point.
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| 6) A __________ has two triangles for bases and three rectangular sides.
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| 7) A __________ has six rectangular faces that meet at right angles.
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| 8) Make a “cube”. Notice that a cube has six congruent faces when it is laid out flat. Print the net, cut it out, and fold the flaps. Use small pieces of tape on the flaps to hold the sides together. Write a description of the cube.
Printable Cube
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| 9) Make a “cylinder”. Notice that when the cylinder is laid out flat it has two circular faces and one face that makes a rectangle. Print the net, cut it out, and construct a cylinder. Fold the flaps. Use small pieces of tape on the flaps to hold the side and two tops together. Write a description of the cylinder.
Printable Cylinder
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| 10) Now let’s make a “triangular prism”. Print out the net, cut it out, and construct a triangular prism. Fold the flaps. Use small pieces of tape on the flaps to hold the prism together. Write a description of the triangular prism.
Printable Triangular Prism
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| 11) Use the given rectangular prism to answer the following questions. State the letter of the question and then the answer.
a. How many vertices are in the figure?
b. Name the vertices.
c. How many edges are in the figure?
d. Name three edges using the letters that represent the endpoints of the line segments formed by the edges.
e. How many faces does the figure have?
f. Name one face using four letters that represent the vertices of the rectangular face.
g. Name one diagonal that could be drawn for face SPRV.
h. Name the face that is congruent to STUV.
i. Name the face that is congruent to SPMT.
j. Name the face that is congruent to TMNU.
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| 12) Describe the front, top, and side 2-D views of the three dimensional shape.
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| 13) Describe the front, top, and side 2-D views of the three dimensional shape.
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| 14) Describe three different 2-D views of the 3-D model by stating the shape of the face, from what view you are looking at the shape, and the length of all the sides of the shape.
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| 15) Print a copy of the isometric dot paper and sketch a 3-D model of cubes similar, but different to problem #14. Describe the top, front, and side 2-D views.
Printable Isometric Dot Paper
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| 16) The diameter of a wheel is 16 in. How far does the wheel travel in 3 complete turns?
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| 17) Find the area of triangle PQR.
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| 18) Find the perimeter of triangle PQR.
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| 19) What is the ordered pair for the origin of the coordinate plane?
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| 20) Suppose that you drew the figure given and would like your friend on the phone to draw it. Write a set of directions so that your friend can draw the figure exactly as shown. Print out the figure. Use a ruler to measure the length of the sides and a protractor to measure the angles.
Printable Triangle
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| 21) In the given regular hexagon, non-overlapping diagonals are drawn between the vertices. Answer the following questions.
a. What is the sum of the three angles in a triangle?
b. Since the non-overlapping diagonals divide the hexagon into four triangles, what is the sum of all the angles formed in a hexagon?
c. Since the hexagon is regular, and if no diagonals were visible, what is the measure of one angle formed at any vertex?
d. Describe how you determined the answer to part c.
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| 22) Print out the regular octagon below. Use non-overlapping diagonals to divide it into triangle. Answer the following questions.
a. What is the sum of all the angles formed at the vertices of the octagon?
b. What is the measure of one angle formed at any vertex of a regular octagon?
Printable Octagon
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| 23) Fill in the blank with the type of triangle that fits the description. State the letter of the answer and the two types of triangles. There will be two answers for each description. Choose from the following types of triangles: right, obtuse, acute, isosceles, equilateral, and scalene.
a. ____________________ could have one angle 120° and two sides congruent
b. ____________________ could have one right angle and no sides congruent
c. ____________________ could have all angles and sides congruent
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| 24) State the measure and type of the angle shown.
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| 25) Solve for “a” and solve for “y”.
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| 26) 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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