Question

An cuboidal object having dimensions 10×20×30cm having density 6kg/m³.Then calculate mass of object

Answer 1

Answer :

Given :

Dimensions of the cuboidal object = 10 cm x 20 cmx 30 cm .

Density of the cuboidal object = 6kg/m³ .

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Required to find :

Mass of cuboidal object

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Formula :

$\boxed{Mass = Density \times Volume}$

$\rule{400}{2}$

Explanation :

In the question it is given that dimensions of the cuboidal object is 10cm x 20cm x 30cm .

But let's consider their measurements to be as ;

Length = 10cm

Breadth = 20cm

Height = 30cm

However, he also mentioned that density of the cuboidal object is 6kg/m³ .

And he asked us to find the mass of the object .

Finding the mass of object is very simple . Just we have to use a formula

The formula is ;

$\rightarrow{\boxed{Mass = Density \times Volume}}$

Actually, density is the ratio of mass is to volume .

Before , Solving this question we need to convert some units to another units .

$\rule{400}{2}$

Units Conversion :

Here we have to convert the dimensions units from centimetres to metres .

So, the formula we have to use is ;

$\boxed{\Rightarrow{ 1 \;centimetre = \dfrac{1}{100} \;meters }}$

Hence,

$\longrightarrow{length = 10cm = \dfrac{10}{100} = 0.1 Meters }$

$\longrightarrow{breadth = 20cm = \dfrac{20}{100} = 0.2 Meters }$

$\longrightarrow{height = 30cm = \dfrac{30}{100} = 0.3 Meters }$

Hence, using this converted measurements we can find the required answer .

Now, let's crack the solution .

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Solution :

Dimensions ;

Length = 0.1m

Breadth = 0.2m

Height = 0.3m

$\rightarrow{Volume \;of\: the \:object\; = length \times breadth \times height}$

$\rightarrow{Volume\; = \; 0.1m \times 0.2m \times 0.3m}$

$\implies{Volume\;=\; 0.006{m}^{3}}$

Hence,

Volume = 0.006m³

Now, using density and volume we can find the mass of the object .

Formula;

$\rightarrow{\boxed{Mass = Density \times Volume}}$

Substitute the respective values;

$\rightarrow{Mass = 6kg/{m}^{3} \times 0.006{m}^{3}}$

$\rightarrow{Mass = 0.036kg}$

So,

$\longrightarrow{\boxed{\therefore{Mass \: of \: the \: cuboidal \: object = 0.036kg}}}$

$\rule{400}{2}$

✅ Hence Solved ....

Answer 2

Answer:

Answer :

Given :

Dimensions of the cuboidal object = 10 cm x 20 cmx 30 cm .

Density of the cuboidal object = 6kg/m³ .

\rule{400}{2}

Required to find :

Mass of cuboidal object

\rule{400}{2}

Formula :

\boxed{Mass = Density \times Volume}

Mass=Density×Volume

\rule{400}{2}

Explanation :

In the question it is given that dimensions of the cuboidal object is 10cm x 20cm x 30cm .

But let's consider their measurements to be as ;

Length = 10cm

Breadth = 20cm

Height = 30cm

However, he also mentioned that density of the cuboidal object is 6kg/m³ .

And he asked us to find the mass of the object .

Finding the mass of object is very simple . Just we have to use a formula

The formula is ;

\rightarrow{\boxed{Mass = Density \times Volume}}→

Mass=Density×Volume

Actually, density is the ratio of mass is to volume .

Before , Solving this question we need to convert some units to another units .

\rule{400}{2}

Units Conversion :

Here we have to convert the dimensions units from centimetres to metres .

So, the formula we have to use is ;

\boxed{\Rightarrow{ 1 \;centimetre = \dfrac{1}{100} \;meters }}

⇒1centimetre=

100

1

meters

Hence,

\longrightarrow{length = 10cm = \dfrac{10}{100} = 0.1 Meters }⟶length=10cm=

100

10

=0.1Meters

\longrightarrow{breadth = 20cm = \dfrac{20}{100} = 0.2 Meters }⟶breadth=20cm=

100

20

=0.2Meters

\longrightarrow{height = 30cm = \dfrac{30}{100} = 0.3 Meters }⟶height=30cm=

100

30

=0.3Meters

Hence, using this converted measurements we can find the required answer .

Now, let's crack the solution .

\rule{400}{2}

Solution :

Dimensions ;

Length = 0.1m

Breadth = 0.2m

Height = 0.3m

\rightarrow{Volume \;of\: the \:object\; = length \times breadth \times height}→Volumeoftheobject=length×breadth×height

\rightarrow{Volume\; = \; 0.1m \times 0.2m \times 0.3m}→Volume=0.1m×0.2m×0.3m

\implies{Volume\;=\; 0.006{m}^{3}}⟹Volume=0.006m

3

Hence,

Volume = 0.006m³

Now, using density and volume we can find the mass of the object .

Formula;

\rightarrow{\boxed{Mass = Density \times Volume}}→

Mass=Density×Volume

Substitute the respective values;

\rightarrow{Mass = 6kg/{m}^{3} \times 0.006{m}^{3}}→Mass=6kg/m

3

×0.006m

3

\rightarrow{Mass = 0.036kg}→Mass=0.036kg

So,

\longrightarrow{\boxed{\therefore{Mass \: of \: the \: cuboidal \: object = 0.036kg}}}⟶

∴Massofthecuboidalobject=0.036kg

\rule{400}{2}

✅ Hence Solved ....