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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

Respuesta :

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

[tex]1.25\times 6=7.5\ inches[/tex]

2) 4:3

So, the length of other edge will be

[tex]\frac{4}{3}\times 6=8\ inches[/tex]

3) 1.5

So, length of other edge will be

[tex]1.5\times 6=9\ inches[/tex]

4) 7:4

So, length of other edge will be

[tex]\frac{7}{4}\times 6=10.5\ inches[/tex]

5) 2

So, length of other edge will be

[tex]2\times 6=12\ inches[/tex]

Answer:

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

Step-by-step 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.

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