The volumes of two similar solids are 53cm³ and 1113cm³. which is the ratio of the corresponding sides? a. 7 b. 21 c. √21 d. ³√21

Cube Root 1113 = 10.36
Cube Root 53 = 3.76

The ratio is 10.36/3.76 = 2.76
Cube Root (21) = 2.76 to 3 places. 

D <<<<<<<answer.

There is another way to do this (much better I think).
1113/53 = 21

A solid has 3 dimensions. Each dimension of the big solid will be k times bigger than the little one.

Therefore the volumes are related by a factor of cube root(large one ) to small one = cube root (21)