Question

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

Answer 1

Answer: 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

$1.25\times 6=7.5\ inches$

2) 4:3

So, the length of other edge will be

$\frac{4}{3}\times 6=8\ inches$

3) 1.5

So, length of other edge will be

$1.5\times 6=9\ inches$

4) 7:4

So, length of other edge will be

$\frac{7}{4}\times 6=10.5\ inches$

5) 2

So, length of other edge will be

$2\times 6=12\ inches$