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The volume of a box is $(6 x^{3} + 9 x^{2})$ cubic cm. Its height is $3 x$ cm and breadth is $x$ cm.
Find an expression for the length.

Class 8Dividing Algebraic ExpressionsAlgebra

A $2 x + 3$
B $2 x + 9$
C $2 x^{2} + 3$
D $6 x + 3$

Step-by-Step Solution

Volume = length * breadth * height, so length = Volume/(breadth*height) =

\frac{6 x ^{3} + 9 x ^{2}}{x \cdot 3 x} = \frac{6 x ^{3} + 9 x ^{2}}{3 x ^{2}} = 2 x + 3

.

Answer: A)

2 x + 3

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