Question

The ratio of the surface areas of two similar solids is 49:100. What is the ratio of their corresponding side lengths?

A 1:24
B 49/10: 10
C 7:10
D 7: 100/7

Answer 1

ratio of surface area = 49:100
ratio of corresponding lengths = √49:√100 = 7:10
answer: C

Hope this helps

Answer 2

The answer is option C

`(7)/(10)`

Explanation:

we know that

The ratio of the surface areas of two similar solids is equal to the scale factor squared and the ratio of their corresponding sides lengths is equal to the scale factor

so

Let

x------> surface area of the smaller solid

y--------> surface area of the larger solid

z-------> scale factor

`z^(2)=(x)/(y)`

substitute the values

`z^(2)=(49)/(100)`

`z=(7)/(10)`

therefore

The ratio of their corresponding sides lengths is equal to
`(7)/(10)`