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:



always



never



sometimes

Answer :

Answer:

never

Step-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]

Answer:

never is correct.

Step-by-step explanation:

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