Question

Volume of a block is5cubic CM if the density of the block is 250g/cm cubewhat is the mass of the block​

Answer 1

✝️ Required Answer:

✏ GiveN:

• Volume of a block = 5 cm³
• Density of the block = 250 g/cm

✏ To FinD:

• Mass of the block...?

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✝️ How to Solve?

The above question is based upon the relation between density, mass and volume. So, firstly we need to know about density of a substance and how to find it, when mass and volume are given.

❇ Density:

The density of a substance is defined as its mass per unit volume. This can be written as:

$\large{ \boxed{ \rm{ \rho = \frac{m}{V} }}}$

Where, rho is the density, m is the mass and V is the volume of the substance.

✏ By using these formula, let's solve the question.

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✝️ Solution:

Given,

• Volume = 5 cm³
• Density = 250 g/cm

The units here is cgs units, so we will find mass in cgs units only, I.e. mass will be in grams.

By using formula,

$\large{ \rm{ \longrightarrow \: \rho = \frac{m}{V} }} \\ \\ \large{ \rm{ \longrightarrow \: 250 \: g {cm}^{ - 1} = \frac{m}{5 \: {cm}^{3} } }} \\ \\ \large{ \rm{ \longrightarrow \: mass = (250 \times 5) \: gms}} \\ \\ \large{ \rm{ \longrightarrow \: mass = \boxed{ \rm{ \red{ 1250 \: gms}}}}}$

The mass of the block is 1250 gms or 1.25 kg.

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❇ More to know in Density:

✏The density depends upon certain factors like:

• Temperature
• Pressure
• Volume
• Mass of particles
• Distance between particles

✏The density of water is 1000 kg/m³ or 1 g/cm³. Here are the density of other common materials.

$\begin{tabular}{|c|c|}\cline{1-2} Material & Density \\\cline{1-2}Hydrogen & 0.109 \\ \cline{1-2}Oxygen & 1.43\\\cline{1-2}Petrol & 740\\\cline{1-2}Iron & 7860\\\cline{1-2}Mercury & 13600\\\cline{1-2}Ice & 917\\\cline{1-2}Milk & 1030\\\cline{1-2}Glycerine & 1260\\\cline{1-2}\end{tabular}$

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