All categories

3 years ago

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]3 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.

You might be interested in

The regular price of a winter coat is $65.50. It is on sale for $52.40. what is the percent decrease of the winter coat

marishachu [46]

I believe the percent decrease is 20%
as when you multiply 65.5 by 20%
it gives you 13.1
when you minus 13.1 from 65.50
it gives you $52.4

6 0

3 years ago

Write an integer to represent the following situation: Earnings of 15 dollars

ANEK [815]

Situation : Earnings of 15 dollars is represented as integer as $+15$ .

<u>Step-by-step explanation:</u>

Here we have , to Write an integer to represent the following situation: Earnings of 15 dollars . Let's find out:

Integer : An integer in math is composes of both positive and negative whole number as : -3,-2,-1,0,1,2,3 etc ..........

According to statement , we need to write an integer to represent the statement : EARNINGS OF 15 DOLLARS . There is word earnings in statement that means increment or increase , and other words are 15 dollars or $15 . So , above statement means increase of 15 dollars which can be represented as an integer as given below :

⇒ $+15$

Where + sign means increase or , with reference to statement it refers to word earnings . Therefore , Situation : Earnings of 15 dollars is represented as integer as $+15$ .

5 0

2 years ago

Read 2 more answers

if the product of two positive fractions a and b is 15/56 find three paris of possible values for a and b

Daniel [21]

That will be easy. It could be 12/56+3/56 or, 7/56+8/56 or, 10/56+5/56.

7 0

2 years ago

Leena walked 2/3 of a mile What is 2/3 written as a sum of unit fractions with the denominator of nine

aliya0001 [1]

Bear in mind that multiplying anything, and anything whatsoever by 1, has a product of the anything itself.

so, let's multiply 2/3 by 1 then and check about,

$\bf \cfrac{same}{same}=1\qquad thus\cfrac{2}{3}\cdot 1\implies \cfrac{2}{3}\cdot \cfrac{3}{3}\implies \cfrac{6}{9}
\\\\\\
\textit{now, we can split that and write it as a sum}\implies \cfrac{1+5}{9}\implies \cfrac{1}{9}+\cfrac{5}{9}$

3 0

3 years ago

Please help i’ve been here for hours so can someone please tell me what to put here

andreev551 [17]

Answer:

If you divide the amount $60.20 (60.20) by 5 (amount of hours), you can find out the amount of money Andrew gets paid in dollars per hour. The quotient is 12.04, $12.04. Therefore, Andrew is payed $12.04 per hour.

Step-by-step explanation:

HOPE THIS HELPS

HAVE A GOOD DAY

STAY SAFE BYEE

❤

6 0

3 years ago

Read 2 more answers