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?answer choices in pics

Answer:Volume = 10a³ + 91a² + 54a - 792Step-by-step explanation:In the absence of answer choices, let's find the expression for the volume.Given: Volume = length×width×heightV = lwh length =(2a + 11)width =(5a – 12)height= (a + 6)V =  (2a + 11)(5a – 12) (a + 6)Expand the first two brackets using distributive propertyV = (10a² -24a +55a - 132)(a + 6)Collect like termsV = (10a² + 31a -132)(a + 6)Expand the two brackets using distributive propertyV = 10a³ + 31a² - 132a + 60a² + 186a - 792Collect like termsV = 10a³ + 91a² + 54a - 792The expression that represents the volume of the box = 10a³ + 91a² + 54a - 792