Question

a piece of Steel has a volume of 10 centimeter and mass of 90 gram.
find its density in kg per metre cube​

Answer 1

Step-by-step explanation:

Density -- Mass/Volume

Density of the steel-- 90/10

Density of The steel --- 9gm per cm cube.

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Answer 2

Answer:

$\large\boxed{\sf{90\;kg\:{m}^{-3}}}$

Step-by-step explanation:

Given that there is a piece of steel.

Mass of steel = 90 gm

Volume of steel = 10 cubic cm

To find, the density of steel piece in kg per metre cube.

We have to convert the respective units in SI units.

Therefore, we will get,

Mass of steel = $\dfrac{90}{1000}\; Kg$

Volume of steel = ${\left[\dfrac{10}{100}\right]}^{3}\;{m}^{3}$

Also, we know that, density (d) is defined as the ratio of mass per unit volume.

Therefore, we will get,

$= > d = \dfrac{ \frac{90}{1000} }{ ({ \frac{10}{100} )}^{3} } \\ \\ = > d = \dfrac{9 \times {10}^{ - 2} }{ {( {10}^{ - 1} )}^{3} } \\ \\ = > d = \frac{9 \times {10}^{ - 2} }{ {10}^{ - 3} } \\ \\ = > d = 9 \times {10}^{ - 2 + 3} \\ \\ = > d = 9 \times 10 \\ \\ = > d = 90$

Hence, the density of steel is $\bold{90\;kg\:{m}^{-3}}$