Question

when dens
16. Volume of a metal cube is 200 cm3. If the density
of metal cube is 7.5 gcm-3, find the mass of metal
cube in kilogram.
[1.5 kg]
When filled
C​

Answer 1

Question:

• Volume of a metal cube is 200 cm³. If the density  of metal cube is 7.5 g/cm³, find the mass of metal  cube in kilogram.

Answer:

• The measure of the mass of the metal cube  is  1.5kg

Explanation:

Given that:

• The  volume  of  the metal cube is 200cm³
• The  density of the metal cube is 7.5 g/cm³

To Find:

• The measure of mass of the metal  cube

Formula Used:

${\bigstar \; \; {\underline{\boxed{\bf{ Density = \dfrac{Mass}{Volume} }}}}}$  

Required Solution:

• The Mass of the metal cube in kilograms is 1.5kg

★ We know that ,

${\pink{\bigstar{\underline{\boxed{\bf{D_{(Density)} = \dfrac{M_{(Mass)}}{V_{(Volume)}} }}}}}}$  

★  Where ,  

• Density is the package of the molecules in volume by an object , i.e ; Mass per Unit Volume

• Mass is defined as the quantitative measure of inertia

• Volume is the space occupied by and object

According to the question:

• The object in the above case is considered to be the cube .We also have the measure of the volume and the density so , let's substitute the values in the formula above and find the density of the block

⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━

Substituting the values we get:

➻ $\blue{\bf{D_{(Density)} = \dfrac{Mass}{Volume} }}$  

➻ $\orange{\bf{ 7.5 g/cm3 = \dfrac{Mass}{200cm^3} }}$

➻ $\red{\bf{Mass = 200cm^3 * 7.5 g/cm^3 }}$

➻ $\pink{\bf{Mass = 1500 gm }}$  

★ Henceforth ,

• The mass of the object is 1500 grams

${\underline{\boxed{\tt{\therefore Mass = 1.5kg }}}}$  

Therefore:

• The quantitative measure of mass of the cube is 1.5kg

know More:

• Volume of a cuboid equals = L × B × H
• Volume of a cube equals = L × L × L
• Volume of a cone = π r² h/3
• Volume of a cylinder = π r² h

Learn More on Brainly:

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