Question

1. A box of dimensions (0.6m × 0.8m × 1m) exerts a force of 20 N on the table. What is the pressure experienced by the table?

Answer 1

Given :-

• Length of box = 0.6m
• Breadth of box = 0.8m
• Height of box = 1m
• Force = 20N

To Find :-

• Pressure experienced by the table

Solution :-

★ Area of box = Area of cuboid ★

→ 2(lb + bh + lh)

→ 2(0.6 × 0.8 + 0.8 × 1 + 0.6 × 1)

→ 2(0.48 + 0.8 + 0.6)

→ 2 × 1.88

→3.76 m²

As we know that

→ Pressure = Force/Area

→ Pressure = 20/3.76

→ Pressure = 5.31 N/m²

Extra Information

• S.I unit of pressure is N/m²(Pascal)
• S.I unit of Force is Newton (N)
• S.I unit of Area is m²

Answer 2

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• The pressure experienced by the table = 5.31 N/m²

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• A box of dimensions (0.6m × 0.8m × 1m) exerts a force of 20 N on the table.

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• What is the pressure experienced by the table?

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\sf\underline{\red{\:\:\: Formula\:Used\: Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Area\:of\: cuboid = 2\times(lb + bh + lh) }$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {Area\:of\: cuboid = 2\times(0.6 \times 0.8 + 0.8 \times 1 + 0.6 \times 1)}$

$\dashrightarrow \sf {Area\:of\: cuboid = 2 \times (0.48 + 0.8 + 0.6)}$

$\dashrightarrow \sf {Area\:of\: cuboid = 2 \times 1.88}$

$\dashrightarrow \sf {Area\:of\: cuboid = 3.76\:m^2}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

• The area of cuboid is 3.76 m².

$\rule{200}{2}$

$\sf\underline{\red{\:\:\: Again,Formula\:Used\: Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Pressure = \frac{Force}{Area } }$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {Pressure = \dfrac{\cancel{20}}{\cancel{3.76}}\:}$

$\dashrightarrow \sf { Pressure = 5.31\: N/m^2}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

• The pressure experienced by the table is 5.31 N/m².

$\rule{200}{2}$