Question

Solve the problems: (only for genius)

1) The mass of 1m³ of water is 1kg. Find out the density of water.

2) If the volume of a cube is 5m³ and its density is 500kg/m³. What is its mass?

3) An irregular object has a mass of 42g and a density of 3g/cm³. Find the value.

please try to give correct answer, I will mark u as branliest.​

Answer 1

Solution-1:-

• Volume=1m^3
• Mass=1kg

We know that

$\boxed{\sf Density=\dfrac{Mass}{Volume}}$

$\\ \sf\longmapsto Density=\dfrac{1}{1}$

$\\ \sf\longmapsto Density=1kg/m^3$

Solution-2:-

• Volume=5m^3
• Density=500kg/m^3

$\\ \sf\longmapsto Density=\dfrac{Mass}{Volume}$

$\\ \sf\longmapsto Mass=Density\times Volume$

$\\ \sf\longmapsto Mass=500\times 5$

$\\ \sf\longmapsto Mass=2500kg$

Solution-3:-

• Mass=42g
• Density=3g/cm^3

$\\ \sf\longmapsto Density=\dfrac{Mass}{Volume}$

$\\ \sf\longmapsto Volume=\dfrac{Mass}{Density}$

$\\ \sf\longmapsto Volume=\dfrac{42}{3}$

$\\ \sf\longmapsto Volume=14cm^3$

Answer 2

Explanation:

Question 1 :-

The mass of 1m³ of water is 1kg. Find out the density of water?

Solution 1 :-

Volume = 1m³

Mass = 1Kg

Density = Mass/Volume

⇒ 1/1

⇒ 1Kg/m³ is the density of water.

Question 2 :-

If the volume of a cube is 5m³ and its density is 500kg/m³. What is its mass?

Solution 2 :-

Volume = 5m³

Density = 5000Kg/m³

Mass = Density × Volume

⇒ 500 × 5

⇒ 2500 Kg is the mass of cube.

Question 3 :-

An irregular object has a mass of 42g and a density of 3g/cm³. Find the volume.

Solution 3 :-

Mass = 42g

Density = 3g/cm³

Volume = Mass/Density

⇒ 42/3

⇒ 14 cm³ is the volume of the object.