Question

A carton box exerts a pressure of 40 pascal on a table. Calculate the area of the table if the force exerted by the box is 100N.

Answer 1

pressure = force/ area. area= force/ pressure = 100/40= 2.5 m^2

Answer 2

$\star \; {\underline{\underline{\textsf{\textbf{ Given \; :- }}}}}$

• ➢ Force = 100N
• ➢ Area = ?
• ➢Pressure = 40Pa

$\begin{gathered} \\ \\ \end{gathered}$

$\star \; {\underline{\underline{\textsf{\textbf{ To \; Find \; :- }}}}}$

• ➢ Pressure = ?

$\begin{gathered} \\ \\ \qquad{\rule{200pt}{2pt}} \end{gathered}$

$\star \; {\underline{\underline{\textsf{\textbf{ SolutioN \; :- }}}}}$

$\dag \; {\underline{\underline{\pmb{\frak{ Formula \; Used \; :- }}}}}$

$\; {\longrightarrow \; {\underline{\boxed{\sf{ Area = \bigg\lgroup \dfrac{ Force}{Pressure}\bigg\rgroup }}}}} \; \orange\bigstar$

Here :

• ➸ Area = ?
• ➸ Pressure = 40Pa
• ➸Force = 100N

$\begin{gathered} \\ \\ \qquad{\rule{150pt}{2pt}} \end{gathered}$

$\dag \; {\underline{\underline{\pmb{\frak{ Area\; \; of\; Table \; :- }}}}}$

$\begin{gathered} \qquad {\longmapsto{\qquad{\sf{ Area= \bigg\lgroup \dfrac{Force}{Pressure} \bigg\rgroup }}}} \\ \\ \qquad {\longmapsto{\qquad{\sf{ Area= \bigg\lgroup \dfrac{100}{40} \bigg\rgroup }}}}\\ \\ \qquad {\longmapsto{\qquad{\sf{ Area= \bigg\lgroup \dfrac{ \cancel{100}}{ \cancel{40}} \bigg\rgroup }}}}\\ \\ \qquad{\longmapsto{\qquad{\sf{ Area= \bigg\lgroup \dfrac{5}{2}\bigg\rgroup }}}}\ \\ \\{\qquad{\pmb{\underline{\boxed{\frak{\qquad{\longmapsto{\qquad{\sf{ \mathfrak{ Area = 2.5m {}^{2} \; }}}}}}}}}}} \; \purple\bigstar \\ \\ \\ \ \end{gathered} </p><p>$

$\begin{gathered} \\ \\ \end{gathered}$

$\; \qquad \; \therefore \;$ Area of the Table is 2.5m².

$\begin{gathered} \\ {\underline{\rule{300pt}{9pt}}} \end{gathered}$