Question

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 –

Answer 1

Height = volume / base = (6k^2 − 13k + 5)/(2k − 1). Factor numerator: 6k^2 − 13k + 5 = (3k − 5)(2k − 1). Cancel (2k − 1) to get height = 3k − 5 (for k ≠ 1/2).