Question

A peice of brass of volume 30cm^2 has a mass of 252g. Find the density of the brass in (i) g/cm^3 (ii) kg /g^3​

Answer 1

Answer:

1) 8.4 g/cm³

2) 8400 kg/m³

Explanation:

The formula for getting density is given by :

Density = mass / volume

We need to calculate the density in g/cm³ and in kg/m³.

1) g/cm³

Applying the formula we have :

Density = 252/30 = 8.4

8.4 g/cm³

2) in kilograms per meters cube

We convert the mass to kilograms.

Mass = 252/1000 = 0.252 Kgs

We convert the volume to cubic meters.

1 m³ = 1000000 cm³

30/1000000 × 1 = 0.00003 m³

Density = mass/volume

Substituting we have :

0.252/0.00003 = 8400 kg/m³

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Explanation:

Answer 2

Correct Question:-

A piece of brass of volume 30cm³ has a mass of 252g. Find the density of the brass in (i) g/cm³ (ii) kg /m³

Answer:-

$\red{\bigstar}$ Density of brass in

• g/cm³ $\large\leadsto\boxed{\rm\pink{8.4 \: g/cm^3}}$

• kg/m³ $\large\leadsto\boxed{\rm\pink{8400 \: kg/m^3}}$

• Given:-

• Volume of piece of brass = 30cm³
• Mass of piece of brass = 252g

• To Find:-

• Density of brass in g/cm³ and kg/g³

• Solution:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{Density = \dfrac{mass}{volume}}}}$

( i )

• Substituting in the Formula:-

➪ $\sf Density = \dfrac{252 \: g}{30 \: cm^3}$

✯ $\underline{\underline{\bf\red{Density = 8.4 g/cm^3}}}$

( ii )

• Converting g into kg:-

➪ $\sf 252 \: g = \dfrac{252}{1000} \: kg$

➪ $\bf 0.252 \: kg$

• Converting cm³ into m³:-

➪ $\sf 30 \: cm^3 = 30 \times 10^{-6} m^3$

➪ $\bf 30 \times 10^{-6} m^3$

• Substituting in the Formula:-

➪ $\sf Density = \dfrac{0.252 \: kg}{30 \times 10^{-6} \: m^3}$

➪ $\sf Density = \dfrac{252 \: kg}{30 \times 1000 \times 10^{-6} \: m^3}$

➪ $\sf Density = 8.4 \times 10^{-3} \: kg/m^3$

✯ $\underline{\underline{\bf\red{Density = 8400 \: kg/m^3}}}$