The two solids are similar, and the ratio between the lengths of their edges is
2.7. what is the ratio of their surface areas?
a. 4: 14
b. 4: 49
c. 2: 7
d. 8: 343

explain how to do if not too lazy to do so (: !

The ratio of their surface areas is 4:49

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem the scale factor is equal to the ratio 2:7

and

Remember that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

therefore

In this problem the ratio of their surface areas is (2:7)^2 = 4:49

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d