• anonymous
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
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • chestercat
I got my questions answered at in under 10 minutes. Go to now for free help!
  • anonymous
1 Attachment
  • Directrix
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

Looking for something else?

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