Question

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 1

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

$k^{2} Sa = Sb$

from the above equation ,

$Sa/Sb = 1/k^{2}$

as k = a/b  from (1)

therefore$Sa/Sb=1/(a/b)^{2} \\Sa/Sb = b^{2} /a^{2}$

hence the ratio of their surface area is $b^{2} /a^{2}$

Answer 2

Answer:

never is correct.

Step-by-step explanation: