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

2 answers:

8 0

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.

Vesna [10]4 years ago

5 0

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

$729:3375=a^3:b^3\\\\\\\Rightarrow \dfrac{a^3}{b^3}=\dfrac{729}{3375}\\\\\\\Rightarrow \left(\dfrac{a}{b}\right)^3=\left(\dfrac{9}{15}\right)^3\\\\\\\Rightarrow \dfrac{a}{b}=\dfrac{9}{15}\\\\\\\Rightarrow a:b=9:15.$

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

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3 years ago

Which of the following inequalities matches the graph?

zaharov [31]

Answer: the inequality that matches de graph is x ≤ 5.

Explanation:

1) The vertical line through the point (5,0) is represented by x = 5.

2) The area to the left of the vertical line x = 5 contents all the points whose x-coordinate is less than five.

Please, find attached the figure with the graph described in the question.

3) A solid line is used to indicate that the points on the line are included in the solution region (a dashed line is used to indicate that the points on the line are excluded)

Therefore, the graph includes the points on the line x = 5 and the points with x-coordinate less than 5.

4) Hence, you have to use an inequality with the symbol ≤, which means less than or equal to.

x ≤ 5 means less than or equal to 5, which is the inequality searched.