The volume of a block of a gold is 0.5 m sqare. if it is hammered into a sheet to cover an area of 1 hectare,find the thicness of the sheet.

0.05

4mm

To find the thickness of the sheet, we need to use the formula for volume:

Volume = Area × Thickness

We are given that the volume of the block of gold is 0.5 m³ (cubic meters) and it is hammered into a sheet to cover an area of 1 hectare.

First, let's convert 1 hectare into square meters:
1 hectare = 10,000 square meters

Now, we can use the formula V = A x T to find the thickness (T) of the gold sheet:

0.5 m³ = 10,000 m² × T

Rearranging the formula to solve for T:
T = 0.5 m³ / 10,000 m²

Calculating:
T = 0.00005 meters

Therefore, the thickness of the gold sheet is 0.00005 meters.

It is not 0.5 meter square

Volume must be in meters CUBED

It is probably a cube.

but from what you wrote I can not say if you mean a cube with a square base with sides of 0.5 meter
In which case we would have V = .5^3 = .125 m^3
or
perhaps you mean V = 0.5 m^3

in either case
V = thickness times one hectare
but 1 hectare = 10,000 m^2
so
V /10,000 = thickness in meters
(which will be extremely small)