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Rocks are sometimes used along coasts to prevent erosion. If a rock needs to weigh 2,000 kilograms (about 2 tons) in order not to be shifted by waves, how big (what volume) does it need to be? You are using basalt, which has a typical density of 3200 kg/m(cubed).

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Neetoo

Answer:

Volume of rock = 625 L

Explanation:

Density:

Density is equal to the mass of substance divided by its volume.

Units:

SI unit of density is Kg/m3.

Other units are given below,

g/cm3, g/mL , kg/L

Formula:

D=m/v

D= density

m=mass

V=volume

Symbol:

The symbol used for density is called rho. It is represented by ρ. However letter D can also be used to represent the density.

Given data:

Mass of rock = 2000 Kg

Density of rock = 3200 Kg/m³

Volume = ?

Solution:

d = m/v

v = m/d

v = 2000 Kg/ 3200 Kg/m³

v = 0.625 m³

or

1000 × 0.625 = 625 L    ( 1 m³ = 1000 L)

The Volume of rock = 625 L

What is Density?

It is defined as the ratio of mass of substance to its volume. Its Units are: kg/m³.

[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}[/tex]

Symbol: D or ρ

Given:

Mass of rock = 2000 Kg

Density of rock = 3200 Kg/m³

To find:

Volume = ?

On substituting values in above equation:

[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}\\\\\text{Volume}=\frac{\text{Mass}}{\text{Density}} \\\\\text{Volume}=\frac{2000kg}{3200kg/m^3} \\\\\text{Volume}=0.625m^3[/tex]

Thus, Volume will be 0.625m³ or 625L.

Find more information about Density here:

brainly.com/question/6838128

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