For all answers in this unit, round to the nearest tenth, when necessary unless otherwise directed. In addition, label answers properly. For example: 64 cubic feet would be written as 64 cu ft.
Volume of Prisms
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1)
Standard measures of volume are _______________ units |
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The volume of the left cube represents 1 cubic yard (1 × 1 × 1). The right cube is the same size; however, the unit of measure is written in feet (1 foot = 3 feet). Notice that the VOLUME of the cube in cubic feet is (3)(3)(3) or 27 cubic feet. Use this same principal to calculate the conversion factors in the next two problems. |
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8)
How many cubic inches are in one cubic foot? (Hint: 1 foot = 12 inches) |
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9)
How many cubic centimeters are in one cubic meter? (Hint: 1 meter = 100 centimeters) |
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Volume of Cones and Pyramids |
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15)
The volume of a cone is what fractional part of the volume of a cylinder with the same radius and height? |
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24)
The edge of the larger cube is twice as long as the edge of the smaller cube. How many times larger is the volume of the larger cube than the volume of the smaller cube? (Note: To compare the volumes, divide the larger volume by the smaller volume.) |
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25)
The radius of the larger sphere is 3 times as long as the radius of the smaller sphere. How many times larger is the volume of the bigger sphere than the volume of the smaller sphere? |
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26)
What is the effect on the volume of a sphere when the diameter is doubled? (Image: Idea go / FreeDigitalPhotos.net) |
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Many objects in real-life are made up of more than one type of solid. Such figures are called COMPLEX SOLIDS. To find the volume of a complex solid, separate the figure into basic solids. |
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30)
Before B.J. buys the tent shown in the ad below, he decides to calculate the maximum amount of people who could occupy the tent. If the average person requires at least 40 cubic feet of space, how many people could fit in the tent? |
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31)
In the given figure, cubes are stacked in a corner of a container. How many cubes are in the bottom layer? |
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32)
Lori sliced an edge from an octagonal prism as shown in the figure below. Points A, B, and C are three of the eight vertices on the front face of the octagon. What type of three-dimensional figure was cut from the prism? |
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34) 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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