the volume of 50g of a substance is 20 cm^2 if the density of water is 1 g cm^-1 will the object floats or sinks in water.???

The units of density are not g/cm. They are g/cm^3.

The units of volume are not cm^2; they are cm^3.

Questions that make no sense cannot be answered.

it is given by cbse syllabus question booklet. not made by me... what then gave in booklet i just kept here....!!!

To determine whether the object will float or sink in water, we need to compare the density of the object with the density of water. Density is calculated by dividing the mass of an object by its volume.

Given:
Mass of the substance = 50g
Volume of the substance = 20 cm^2
Density of water = 1 g cm^-3

Step 1: Calculate the volume of the substance in cm^3.
Since the volume was given in cm^2, we need to convert it to cm^3. Since the density of water is given in grams per cm^3, the volume of the substance needs to be in cm^3 for the densities to be comparable.

Volume of the substance = 20 cm^2

Step 2: Compare the density of the substance to the density of water.
Density of the substance = Mass of the substance ÷ Volume of the substance

Density of the substance = 50g ÷ (20 cm^2 converted to cm^3)

For the densities to be comparable, we need to convert the volume from cm^2 to cm^3. Since the dimensions were not given, it is not possible to directly convert cm^2 to cm^3 without additional information. Therefore, we cannot calculate the density of the substance with the given information.

Since we cannot calculate the density of the substance, we cannot determine whether it will float or sink in water.