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The volume of a certain wooden block is 63 cm². The mass is 11 g. Find the
density


Sagot :

Answer:

  • Density = 0.174 grams/ cm³

Explanation:

Given:

  • The volume of a certain wooden block is 63 cm². The mass is 11 g.

To Find:

  • Density

SolutioN:

We know that,

  • p = M/V

here,

  • p is density,
  • m is mass,
  • v is volume

Substituting the required values:

Density = 11g /63 cm³

Density = 0.174 grams/ cm³

Hence,

  • Required density = 0.174 g/ cm³

Given:

  • m= 11 g
  • V= [tex]\bold{63 \: {cm}^{3}}[/tex]
  • d= ?

Note that:

  • m: Mass
  • V: Volume
  • d: Density

To find:

  • The density

Solution:

  • Dencity is mass per unit volume of a substance.

[tex]\large\boxed{\bold{Formula: d=\frac{m}{V}}}[/tex]

Let's solve!

In this question all the values are given so we'll simply have to substitute and solve.

So, we'll have to divide mass by volume.

Substitute the values according to the formula.

[tex]d= \frac{11}{63}[/tex]

Calculator value:

[tex]\bold{d= 0.174603174 \: g/ {cm}^{3}}[/tex]

Now, we can round off to 3 significant figures.

The value in ten thousandths place is greater than 5 so we'll have to round up by adding 1 to the thousandths place.

Final answer:

[tex]\large\boxed{\bold{d= 0.175 \: g/ {cm}^{3}}}[/tex]

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