24. If the scale factor of two similar solids is 4:17, what is the ratio of their corresponding areas and volumes? (1 point)

Question

4:289 and 17:4,913
8:34 and 12:51
16:289 and 64:4,913
64:4,913 and 16:289
25. The volumes of two similar solids are 1,728 m3 and 343 m3. The surface area of the larger solid is 576 m2. What is the surface area of the smaller solid? (1 point)
196 m2
76 m2
1,372 m2
392 m2

Answer 1

length scale = 4/17
area scale = 4^2/17^2 = 16/289
vol scale = 4^3/17^3 = 64/4913

x^3/y^3 = 1728/343 volume ratio
x^2/y^2 = 576/y^2 area ratio

x/y =(1728/343)^(1/3) = 5.0379^(1/3)
= 1.7143 length ratio
so
x^2/y^2 = 1.7143^2 = 2.939
so
2.939 = 576/y^2
y^2 = 196 meters^2