The volume of a rectangular prism is given by the formula v = lwh, where l is the length of the prism, w is the width, and h is the height. suppose a box in the shape of a rectangular prism has length (2a + 11), width (5a – 12), and height (a + 6). which expression represents the volume of the box?

The expression for the volume of the rectangular box is .

According to the question, the volume of the rectangular prism is given as where, is the length of the prism, is the width, and is the height of the rectangular prism.

The dimensions of the rectangular box is-

Substitute the expressions of the parameters in the formula of the volume as-

Hence, the expression for the volume of the rectangular box is .

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2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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