Homework Explained - Math Practice 101

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Grade 8 McGraw Hill Glencoe - Answer Keys


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  • Question 8 (request help)

    The world's largest cube puzzle is in Knoxville, Tennessee. It measures 6 feet on each side. The scale factor between a standard cube puzzle and the largest puzzle is \(\cfrac{1}{24}\). Find the surface area and volume of the standard cube puzzle.

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  • Question 9 (request help)

    Persevere with Problems Two spheres are similar in shape. The scale factor between the smaller sphere and the larger sphere is \(\cfrac{3}{4}\). If the volume of the smaller sphere is 126.9 cubic meters, what is the volume of the larger sphere?

  •     \(\text{m}^{3}\)

  H.O.T. Problems Higher Order Thinking  

  • Question 10 (request help)

    Persevere with Problems A frustum is the solid left after a cone is cut by a plane parallel to its base and the top cone is removed.

    a. Is the smaller cone that is removed similar to the original cone? Justify your response.

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  • Question 10 (request help)

    b. What is the volume of the smaller cone? the larger cone? Use 3.14 for \(\pi\).

  • Smaller Cone:     \(\text{in.}^{3}\)
    Larger Cone:     \(\text{in.}^{3}\)
  • Question 10 (request help)

    c. What is the ratio of the volume of the smaller cone to the volume of the larger cone?

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  • Question 10 (request help)

    d. What is the volume of the frustum?

  •     \(\text{in.}^{3}\)
  • Question 11 (request help)

    Justify Conclusions A cone has a volume of x cubic inches. If the dimensions of a second cone are one-sixth the original cone, what is the volume of the second cone? Explain your reasoning.

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  • Question 12 (request help)

    Reason Inductively Determine whether the following statement is true or false. Explain your reasoning.

    All spheres are similar.

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