Choice A is correct. The volume, $V$ , of a rectangular prism is given by the formula $V = l w h$ , where $l$ is the length of the base, $w$ is the width of the base, and $h$ is the height of the prism. It’s given that each base of a right rectangular prism has a length of $19$ inches and a width of $8$ inches, and that the prism has a volume of $2,736$ cubic inches. Substituting $19$ for $l$ , $8$ for $w$ , and $2,736$ for $V$ in the formula $V = l w h$ gives $2,736 equals left parenthesis 19 right parenthesis left parenthesis 8 right parenthesis left parenthesis h right parenthesis$ , or $2,736 equals 152 h$ . Dividing each side of this equation by $152$ yields $18 equals h$ . Therefore, the height, in inches, of the prism is $18$ .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the area, in square inches, of the base of the prism, not the height, in inches, of the prism.