Question

a cube 8.5cm on each side has a mass 0.65kg will the cube float or sink in water give reason for your answer ​

Answer 1

An object will sink if the density of object is more than that of water. Hence, cube will sink.

Explanation:

It is given that,

Side of the cube, l = 8.5 cm = 0.085 m

Mass of the cube, m = 0.65 kg

Volume of the cube,

$V=l^3$

$V=(0.085)^3$

$V=6.14\times 10^{-4}\ m^3$

If d is the density of cube. It is equal to mass per unit its volume. It is given by :

$d=\dfrac{m}{V}$

$d=\dfrac{0.65\ kg}{6.14\times 10^{-4}\ m^3}$

$d=1058.63\ kg/m^3$

We know that the density of liquid is, $d=1000\ kg/m^3$

It is clear that the density of cube is more than density of water. An object will sink if the density of object is more than that of water. So, cube will sink. Hence, this is the required solution.

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Answer 2

Given that,

Side of the cube is 8.5 cm

Mass of the cube is 0.65 kg or 650 grams

To find,

The cube will float or sink in water.

Solution,

Density of cube will tell that it will float or sink. We can find its density using the below formula

density = mass/volume, volume of the cube = side³

$d=\dfrac{650\ g}{(8.5)^3\ cm^3}\\\\d=1.058\ g/cm^3$

The density of water is 1 g/cm³.

The density of cube is slightly more than that of water. If the density of object is more than that of water it will sink.

Hence, the cube will sink in water.