Volume of a Rectangular Prism
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| 1) Calculate the volume of a rectangular prism with a width of 14 feet, length of 10 feet and a height of 27 feet. Label answer appropriately.
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| 2) Calculate the volume of a cube with an edge length of 11 feet. Label answer appropriately.
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| 3) Calculate the volume of a rectangular prism with a width of 22.3 feet, length of 9.7 feet and a height of 30 feet. Label answer appropriately.
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| 4) Calculate the volume of a cube with an edge length of 2.5 inches. Label answer appropriately.
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| 5) Find the volume of a triangular prism whose height is 28 inches, and the dimensions of its triangular base are 14 inches for length of the triangle’s base and 10 inches for length of the triangle’s height.
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| 6) Find volume of a triangular prism whose height is 50 inches, and the dimensions of its triangular base are 27 inches for length of the triangle’s base and 19 inches for length of the triangle’s height.
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| 7) Find the volume of a pentagonal prism whose area of the pentagonal base is 100 square inches and the height of the prism is 45 inches.
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| 8) Find the volume of a cylinder whose radius is 7 inches and its height is 12 inches.
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| 9) Find the volume of a cylinder whose radius is 6 inches and its height is 24 inches.
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| 10) Find the volume of a cylinder whose radius is 3.5 inches and its height is 26 inches.
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| 11) Find volume of a cylinder whose radius is 8 3/4 inches and its height is 22 inches.
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| 12) Find the volume of a cylinder whose diameter is 9 inches and its height is 16 inches.
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Doubling Dimensions – Effects on Volume
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| 13) Find the volume of these cylinders. “Note that the dimensions of the second cylinder are double the dimensions of the first cylinder.” State the volume of each cylinder. State how many times larger in volume the bigger cylinder is compared to the smaller cylinder.
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| 14) Find the volume of these prisms. “Note that the dimensions of the second prism are double the dimensions of the first prism.” State the volume of each prism. State how many times larger in volume the bigger prism is compared to the smaller prism.
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| 15) Doubling the dimensions of 3-D shapes has what effect on volume?
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| 16) A square piece of construction paper has an area of 81 square inches. How long is each side?
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| 17) The perimeter of a rectangular jewelry store is 154 feet. It is 44 feet long. How wide is it?
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| 18) The area of a square cafeteria is 100 square yards. How long is each side of the cafeteria?
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| 19) Find the area of a circle with a diameter of 9 inches. Round answer to nearest tenth and label answer properly.
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| 20) Find the area of a triangle with a base of 15 feet and a height of 10 feet. Label the answer appropriately.
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| 21) Draw a cube and then fill in the following statement. A cube has ___________ vertices, ________ edges, and ____________ faces. State the answers in the order that they occur.
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| 22) Solve.
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| 23) If the shape below is the top view of a 3-D object, what might the side and bottom view look like? Please explain your answer.
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| 24) You have drawn the following figure on your paper 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 show below. You may need to use a ruler and a protractor.
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| 25) What phrase describes a square and only a square?
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| 26) Study the plane figure which is not drawn to scale. What might be wrong with the given information? Briefly write your findings and justify your ideas by geometric principles.
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| 27) In the coordinate plane below, points are represented with letters. Write the ordered pair for each of the following points: G, H, J, K, and L. State the letter and the answer.
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| 28) A heart is a design that has line symmetry. Think of another design, shape, or object that can be made using line symmetry. On paper draw the shape. Describe the shape that you made and how you made it through a reflection.
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| 29) 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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