Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Alex_hellokitty<3

  • 4 years ago

Match each set of measures of a and b with the measure of c that gives a volume of 24 cubic inches. a = 2in and b = 8 in a = 4in and b = 2 in a = 3in and b = 4 in a = 6in and b = 4in options are A. c = 2 in B. c = 3 in C. c = 4 in D. c = 6 in

  • This Question is Closed
  1. Alex_hellokitty<3
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  2. Directrix
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The volume of a triangular base prism is the area of its base times its height. In this problem, the area of the base is 1/2 (a*c) and the height is b. So, Volume = 1/2 (a*c)*b or 1/2 (a*b*c). Note that the volume is 24. If 24 = 1/2 (a*b*c), then 48 = (a*b*c). Choosing the value of c is reduced to finding a number that when multiplied by a*b gives 48. On the uploaded chart, look at the first row. a = 2 and b = 8. a*b = 16. So, what times 16 = 48. That is 3 which appears on the row under the "c" column. Using that strategy, the other values of c can be found without a lot of work. Last, the matching.

    1 Attachment
  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy