Question

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

Answer 1

Given:

• m= 11 g
• V=
  `\bold{63 \: {cm}^(3)}`
• d= ?

Note that:

• m: Mass
• V: Volume
• d: Density

To find:

• The density

Solution:

• Dencity is mass per unit volume of a substance.

`\large\boxed{\bold{Formula: d=(m)/(V)}}`

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.

`d= (11)/(63)`

Calculator value:

`\bold{d= 0.174603174 \: g/ {cm}^(3)}`

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:

`\large\boxed{\bold{d= 0.175 \: g/ {cm}^(3)}}`

Answer 2

• Density = 0.174 grams/ cm³

Step-by-step 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