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Math·Geometry and Trigonometry·Area and volume

hard

A conservation specialist hung artificial nesting structures each in the shape of a right rectangular prism for a species of native duck. Each structure has a height of $18$ inches. The length of each structure’s base is $x$ inches, which is $1$ inch more than the width of the structure’s base. Which function $V$ gives the volume of each structure, in cubic inches, in terms of the length of the structure’s base?

A

$V(x)=x(x+18)(x+1)$

B

$V(x)=x(x+18)(x-1)$

C

$V(x)=18x(x+1)$

D

$V(x)=18x(x-1)$