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. ____________________________________________________
