Answer

Verified

384.6k+ views

**Hint**: To find the thickness of the gold sheet, we will divide the volume of the gold sheet by its area of the cross section. The sheet is of the shape of a cuboid, so we can apply the formula of volume of a cuboid, which is given as:

$ v = l \times b \times t $

Where, $ l $ is the length , $ b $ is the breadth and $ t $ is the thickness of the cuboid. The area of the cross section of the cuboid can be expressed as $ l \times b $ . We will use these expressions to find the thickness.

**:**

__Complete step-by-step answer__Given:

Volume of the gold sheet is $ v = 0.5\;{{\text{m}}^3} $ .

Area of the gold sheet is $ A = 1\;{\text{hectare}} $ .

The following is the schematic diagram of an extended gold cube.

The expression for the volume of gold sheet will be

$ v = l \times b \times t $

Where $ l $ is the length, $ b $ is the breadth and $ t $ is the thickness of the gold sheet.

Also, area of the cross section on which are hammering can be expressed as:

$ A = l \times b $

Hence, we can find the thickness of the sheet by dividing volume of the gold sheet by the area of the gold sheet which can be expressed as:

$ t = \dfrac{v}{A} $

Now, we will substitute $ 1\;{\text{hectare}} $ for $ A $ and \[0.5\;{{\text{m}}^3}\] for $ v $ in the above expression.

$ \begin{array}{l}

t = \dfrac{{0.5\;{{\text{m}}^{\text{3}}}}}{{1\;{\text{hectare}} \times \dfrac{{{\text{10000}}\;{{\text{m}}^{\text{2}}}}}{{{\text{1}}\;{\text{hectare}}}}}}\\

t = \dfrac{5}{{100000}}\;{\text{m}}\\

t = 0.000005\;{\text{m}} \times \dfrac{{{\text{1}}{{\text{0}}^{\text{2}}}\;{\text{cm}}}}{{{\text{1}}\;{\text{m}}}}\\

t = 0.0005\;{\text{cm}}

\end{array} $

**So, the correct answer is “Option A”.**

**Note**: The area of the cross section of the gold sheet is given in hectares. So it has to be converted into meter squares for the calculation. But the options are in centimetre, so we will again convert the result into centimetre. The calculation should always be done in the standard units only.

Recently Updated Pages

The base of a right prism is a pentagon whose sides class 10 maths CBSE

A die is thrown Find the probability that the number class 10 maths CBSE

A mans age is six times the age of his son In six years class 10 maths CBSE

A started a business with Rs 21000 and is joined afterwards class 10 maths CBSE

Aasifbhai bought a refrigerator at Rs 10000 After some class 10 maths CBSE

Give a brief history of the mathematician Pythagoras class 10 maths CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Write the 6 fundamental rights of India and explain in detail