An art exhibit at a local museum features several similarly shaped metal cubes welded together to make a sculpture. the smallest cube has a edge length of 6 inches. what are the edge lengths of the other cubes if the ratios of similarity to the smallest cube are 1.25,4/3,1.5,7/4,and 2 respectively

Length of other edges will be 7.5 inches, 8 inches, 9 inches, 10.5 inches, 12 inches.

Explanation:

Length of smallest cube = 6 inches

Ratio of similarity to the smallest cube is given as follows:

1) 1.25

So, length of other edge will be

2) 4:3

So, the length of other edge will be

3) 1.5

So, length of other edge will be

4) 7:4

So, length of other edge will be

5) 2

So, length of other edge will be

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: