Question

The height of a rectangular prism is found by dividing volume, V, by the base area, B.





If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height?

3x + 5 –
3x – 7 +
3x + 5 +
3x – 7 –

Answer 1

Answer:

(3x+5)+

\frac{28}{2x-4}(3x+5)+

2x−4

28

EXPLANATION

Step-by-step explanation:

Since,

The volume of a rectangular prism = Base area × Height,

Given,

Volume of the rectangular prism = 6x^2-2x+86x

2

−2x+8

Base area = 2x - 4

Let h be the height,

\implies 6x^2-2x+8=(2x-4)h⟹6x

2

−2x+8=(2x−4)h

\implies h = \frac{6x^2-2x+8}{2x-4}⟹h=

2x−4

6x

2

−2x+8

By long division ( shown below ),

h=(3x+5)+\frac{28}{2x-4}h=(3x+5)+

2x−4

28

Which is the required expression that represents the height.

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