Question

Find the similarity ratio of a cube with volume 729 m3 to a cube with volume 3,375 m3.iR²

a. 9:25
b. 3:5
c. 5:3
d. 25:9

Answer 1

Answer: The similarity ratio of the two cubes is 9 : 15.

Step-by-step explanation: We are to find the similarity ratio of a cube with volume 729 m³ to a cube with volume 3375 m³.

We know that if two solids are similar, then ratio of their volumes is equal to the cube of the ratio of their corresponding sides.

Let, 'a' m and 'b' m be the lengths of two corresponding sides of the cubes with volumes 729 m³ and 3375 m³ respectively.

Then, we must have

`729:3375=a^3:b^3\\\\\\\Rightarrow (a^3)/(b^3)=(729)/(3375)\\\\\\\Rightarrow \left((a)/(b)\right)^3=\left((9)/(15)\right)^3\\\\\\\Rightarrow (a)/(b)=(9)/(15)\\\\\\\Rightarrow a:b=9:15.`

Thus, the similarity ratio of the two cubes is 9 : 15.

Answer 2

The similarity ratio of a cube with volume 729 m3 to a cube with a volume of 3,375 m3.iR² is 3:5. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query and it will be able to help you, and if you would like, feel free to ask another question.