Aprism'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 –

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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