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Alekssandra [29.7K]
3 years ago
13

PLZZ HELPPP!!! Each edge of a wooden cube is 6 centimeters long. The cube has a density of 0.71 g/cm3

Mathematics
2 answers:
trapecia [35]3 years ago
5 0

Answer:

153.36 grams

Step-by-step explanation:

Density is mass divided by volume: d = m/v.

Here, we already know that d = 0.71 g/cm³.

We can find the volume of hte cube. The volume of a cube is denoted by:

V = s³, where s is the side length

The cube's length is 6, so plug this in:

V = s³

V = 6³ = 216 cm³

Plug these values in:

d = m/v

0.71 g/cm³ = m / 216 cm³

m = 0.71 * 216 = 153.36 grams

The answer is 153.36 grams.

Lana71 [14]3 years ago
4 0

Answer:

153.36g

Step-by-step explanation:

Density is defined as the ratio of mass per unit volume of a material.

Density = Mass/Volume

Given the edge of a cube which is equivalent to its length L to be 6cm.

Density of the cube = 0.71g/cm³

Volume of the cube = L³

Volume = 6³

Volume of the cube = 216cm³

Mass = Density × Volume

Mass of the cube = 0.71×216

Mass of the cube = 153.36grams

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If 55% of a number is 132 and 25% of the same number is 60, find 80% of that number.
UNO [17]

Answer:

  192

Step-by-step explanation:

It is always wise to look carefully at the question to see what information is given, and what information you are asked for. You are given two different fractions of the same number, and you want the value of a third fraction of that number. That third fraction is the sum of the other two.

__

The value of 80% of the number will be the sum of 55% and 25% of the number.

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  n×80% = 192

80% of the number is 192.

_____

<em>Additional comment</em>

Your first clue that there may be something special about this problem lies in the fact that one fraction of a number is all you need in order to find any other fraction. Here, we're given two fractions (55% and 25%), so that is more information than we need. Why? Because it simplifies the problem to one of addition. No proportions need to be solved.

__

If you were interested, you could determine 100% of the number to be ...

  132/n = 55/100   ⇒   n = 132(100/55) = 240

or

  60/n = 25/100   ⇒   n = 60(100/25) = 240

Then ...

  0.80n = 0.80(240) = 192 . . . . 80% of the number

Or, you could write proportions for the 80% value:

  80%/55% = n/132   ⇒   n = 132(80/55) = 192 . . . . 80% of the number

  80%/25% = n/60   ⇒   n = 60(80/25) = 192 . . . . 80% of the number

__

"Look carefully" includes thinking about the ways the <em>givens</em> and the <em>finds</em> are related.

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intro urna sunt 24 de bile albe si 16 bile negre. se extrage la intamplare o bila . probabilitatea ca bila extrasa sa fie alba e
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Answer:

\frac{3}{5}

Step-by-step explanation:

Given parameters:

Number of white balls  = 24

Number of black balls  = 16

Unknown:

The probability that white ball is drawn at random = ?

Solution:

The probability of an event is the likelihood of such an event to occur. That an event will occur has a probability of 1, it will not occur have a probability of zero.

In this problem, the total number of outcomes of drawing any ball has sample space of (24 + 16)outcomes  = 40outcomes.

Probability of an event  = \frac{number of successful outcome}{sample space}

                  Pr(white balls) = \frac{24}{40}   = \frac{3}{5}

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