ZMath 150  - Unit 28: Solids

After viewing the 3-D shapes link, state the term that would fill in the blank to match the description of the solid. Choose from the following phrases:

Rectangular Prism          Cube          Cone

Sphere                              Pyramid     Cylinder

1) __________ has a circular base and the side is a curved surface that meets at a vertex.

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2) __________ has a smooth curved surface where all points on the surface are equidistant from a center point and looks like a ball.

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3) __________ has one base and triangular sides.

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4) __________ has two circular bases and one smooth curved rectangular side.

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5) __________ has six rectangular faces where the opposite faces are congruent.

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6) __________ has six square faces and is a prism.

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For problems #7 and #8 predict what shapes will result from folding the Nets, print out the Nets, and then cut them out to construct a 3-D shape. Fold along the dark edges and use small pieces of tape on the flaps to hold the sides together.

7)

What 3-D shape does this net make?

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8)

What 3-D shape does this net make?

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For problems #9 through #12, identify which type of measurement would be appropriate for the scenario.

9) Which type of measurement would be appropriate to calculate the amount of Christmas paper needed to wrap presents?

10) Which type of measurement would be appropriate to calculate the amount of cardboard needed to make a box?

11) Which type of measurement would be appropriate to calculate the amount of water a rectangular pool will hold?

12) Which type of measurement would be appropriate to calculate the amount of perfume in a bottle shaped like a cube?

Look at the rectangular prism drawn on the isometric dot paper below and then answer questions #13 and #14.

13) Find the volume of the rectangular prism. Label the answer as cubic units.

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14) Find the surface area of all six faces of the rectangular prism. Label the answer as square units.

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Print out the isometric dot paper found in the lesson area and draw a cube on it. Use your drawing to answer questions #15 through #18.

15) What are its dimensions (length, width, height)?

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16) What is its volume?

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17) What is the area of one face?

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18) What is the surface area of the cube?

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19)

Which has more volume: an eight-inch cube or a cone with a diameter of eight inches and a height of eight inches? Please explain.

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20)

Find the difference.

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21) Find the perimeter of an equilateral triangle (all sides measure the same length) whose side measures 14.05 cm. Label answer correctly.

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22) Find the circumference of a circle with a radius of 2.3 inches. Label answer correctly.

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23)

Will skew lines ever intersect in space? Please explain your answer.

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24)

Estimate the area of the heart drawn on the square centimeter grid paper. Label the answer.

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25)

What is the measure of the blue angle? What type of angle is it?

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