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3 years ago

If lateral surface area of cube is double then the ratio of volume of new cube to original cube

Mathematics

1 answer:

Solnce55 [7]3 years ago

3 0

Answer:

2√2

Step-by-step explanation:

The area ratio is the square of the side length ratio, so the ratio of side lengths is √2.

The volume ratio is the cube of the side length ratio, so the new cube has a volume that is (√2)³ times that of the original.

The volume ratio is 2√2.

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Pick 1 AND Pick 2
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3 years ago

Which of the following number sentences is an example of the identity property? Select all that apply.

ArbitrLikvidat [17]

I think one is 8.7 + 0 = 8.7

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3 years ago

The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm cubed of water.Find the percent of the c

Helen [10]

Answer:

In 3 seconds the cup is filled with $105\ cm^3$ <u>.</u>

Step-by-step explanation:

Given:

2 seconds = $70\ cm^3$ water

We need to find the percent of the cup that is filled with water after 3 seconds.

Solution:

Now Given:

The cup was filled at a constant rate.

First we will find the volume of water filled in the cup after 1 seconds.

2 seconds = $70\ cm^3$ water

1 seconds = Volume of water filled in 1 second.

By Using Unitary method we get;

Volume of water filled in 1 second = $\frac{70}{2}= 35\ cm^3$

Now we will find the volume of water filled in the cup after 3 seconds.

1 second = $35\ cm^3$ of water is filled

3 seconds = volume of water filled in the cup after 3 seconds

Again by using Unitary method we get;

volume of water filled in the cup after 3 seconds = $35 \times 3 = 105\ cm^3$

Hence In 3 seconds the cup is filled with $105\ cm^3$ .

To find the percent of the cup filled with water after 3 seconds we would required the dimensions of the cup which is not available in the question.

6 0

3 years ago

6 times the sum of a number and 12 is 114. what is the number?

grin007 [14]

Answer:

6 times the sum of a number and 12 is 114. The number is 17

Step-by-step explanation:

6 x 17 + 12= 114

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3 years ago

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Solve(x+y)^2=(x^2-2xy+y^2) and show your work

Shtirlitz [24]

(x + y)^2 = (x^2 - 2xy + y^2)

First distribute the ^2 on the left side of the equation to each term inside the parenthesis:

x^2+ 2xy + y^2

Now pick one of the variables to solve for and isolate it:

(solving for x)

x^2 + 2xy + y^2 = x^2 - 2xy + y^2

x^2+ 2xy = x^2 - 2xy

2xy = -2xy

-x = x

x = 0

When you solve for y in the equation it will turn out to be 0 as well

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3 years ago

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If lateral surface area of cube is double then the ratio of volume of new cube to original cube ​

If lateral surface area of cube is double then the ratio of volume of new cube to original cube