Answer: The width is: " 10 in. " . ________________________________________________ Explanation: ________________________________________________ Consider a "rectangular prism". ________________________________________________ The formula for the Volume of a rectangular prism: ________________________________________________
V = L * w * h ; _________________________________________________ in which:
V = volume = 120 in.³ ; L = length = 8 in. w = width = ?? h = height = 1.5 in. ____________________________________________ We want to solve for "w" (width) ; ____________________________________________ Given the formula: ____________________________________________
V = L * w * h ; ____________________________________________ Rewrite the formula; by dividing EACH SIDE of the equation by "(L * h)" ; to isolate "w" on one side of the equation; and to solve for "w" ; _____________________________________________ → V / (L * h) = ( L * w * h) / (L * h) ;
to get: _________________________________ → V / (L * h) = w ;
↔ w = V / (L * h) ; _________________________________ Plug in our given values for "V", "L"; and "h"; to solve for "w" ; ____________________________________________________ → w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in. ____________________________________________________
The mathematical domain includes all real numbers, while the reasonable domain includes only real numbers greater than 2
Step-by-step explanation:
In the real world, length and width only make sense when they are positive. For that to be the case, the width must be greater than 2. There is nothing in the description that restricts the values to integers.