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. Which expression represents the volume of the following rectangular prism?
L=x+2
W=3x
h=2x+9
A)2x^2+13x18
B) 6x^3+27x^2+54x
C) 6x^3+39x^2+54x
D)18x^4+117x^3+162x^2
1 answer:
The expression that represents the volume would be: <span>C) 6x^3+39x^2+54x</span>
Proof of the calculation:
V = Lwh
V = (x+2) (3x) (2x+9)
V= (3x^2 + 6x) (2x + 9)
V = (6x^3 + 27X^2 +12x^2 + 54x)
V = 6x^3 + 39x^2 + 54x
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