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22 September, 18:24

A prism's volume is given by the expression

6k2 - 13k + 5. The area of the base of the

prism is 2k - 1.

Which expression represents the height of the prism?

k + 4

3k - 5

3k - 8 +

4k - 7 -

+5
Answers (2)
  1. 22 September, 21:05
    0
    The volume of any prisma no matter wich one side it have got the following formula:

    V=Ab*h where Ab is the base area and h is called height.

    From our data we know the volume (6k^2-13K+5) and we know the base area (2k-1). Inserting this data in the general formula we got:

    6k^2-13K+5 = (2k-1) * h, solving for our unknown variable the height h

    h=6k^2-13K+5/2k-1

    factoring numerator:

    h = (3k-5) (2k-1) / 2k-1 simplifying

    h=3k-5

    The answer is 3k-5
  2. 22 September, 21:08
    0
    Remark

    The Volume = B * h

    V = 6k^2 - 13k + 5

    B = 2k - 1

    h = ?

    The volume will factor into (2k - 1) (3k - 5)

    You can tell that one of the factors is 2k - 1 because that is the given amount for the base. You need only find the other factor. 3k is needed to multiply 2k to 6k^2.

    - 1 needs - 5 to get the answer to 5

    So the other factor is 3k - 5

    Solution

    V/b = h

    (6k^2 - 13k + 5) / (2k - 1)

    (3k - 5) (2k - 1) / (2k - 1) The (2k - 1) s Cancel out

    Answer

    B = 3k - 5 Second one down.
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