THE VOLUME OF A BLOCK OF GOLD IS 0.5CM^3. IF IT IS HAMMARED INTO A SHEET TO COVER THE AREA OF 1 HECTARE, FIND THE THINKNESS OF THE SHEET?
1 hectare = 10^8 cm^2
so, the thickness is
0.5cm^3 / 10^8 cm^2 = ? cm
Thickness of sheet= volume/area =(0.5_/10000)m =(0.5×100×10/10000)mm = 1/20mm = 0.05mm
To find the thickness of the sheet, we need to first calculate the volume of the sheet and then divide it by the area it covers.
Here's how we can proceed step by step:
1. Start by converting the area given in hectares to square centimeters. 1 hectare is equal to 10,000 square meters, and since 1 meter is equal to 100 centimeters, 1 hectare is equal to 10,000 * 100 * 100 = 10,000,000 square centimeters.
2. Now, we need to find the volume of the sheet. Since the block of gold is hammered into a sheet, its shape changes from a block to a sheet. However, the volume remains the same. So, the volume of the sheet will still be 0.5 cm^3.
3. Finally, we can find the thickness of the sheet by dividing the volume of the sheet (0.5 cm^3) by the area it covers (10,000,000 square centimeters).
Thickness of the sheet = Volume of the sheet / Area covered
= 0.5 cm^3 / 10,000,000 square centimeters.
Now, divide 0.5 cm^3 by 10,000,000 square centimeters to get the thickness of the sheet in centimeters.