Determine whether each statement is sometimes, always, or never true. If the scale factor of two similar solids is a:b, then the ratio of their surface areas is a:b. Question 4 options:alwaysneversometimes

Answer:neverStep-by-step explanation:let k be the scale ratio of two bodies then according to the question k = a/b  -- (1) let Sa be the surface area of body A and Sb be the surface area of body B , then according to the relation of scale factor and surface areas [tex]k^{2}  Sa = Sb[/tex]from the above equation , [tex]Sa/Sb = 1/k^{2}[/tex]as k = a/b  from (1)therefore[tex]Sa/Sb=1/(a/b)^{2} \\Sa/Sb = b^{2} /a^{2}[/tex]hence the ratio of their surface area is [tex]b^{2} /a^{2}[/tex]