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

7.5 inches, 8 inches, 9 inches, 10.5 inches, and 18.

Explanation:

The edge lengths are 7.5 inches, 8 inches, 9 inches, 10.5 inches, and 18 inches respectively. The edge length of the cube would be 4 inches. Only one edge of the cube is needed because every edge on a cube has the same length.

Answer 2

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* 6=7.5\ inches`

2) 4:3

So, the length of other edge will be

`(4)/(3)* 6=8\ inches`

3) 1.5

So, length of other edge will be

`1.5* 6=9\ inches`

4) 7:4

So, length of other edge will be

`(7)/(4)* 6=10.5\ inches`

5) 2

So, length of other edge will be

`2* 6=12\ inches`