A girl stands on a box having $60\ cm$ length, $40\ cm$ breadth and $20\ cm$ width in three ways. In which of the following cases, pressure exerted by the brick will be
$(a)$. maximum when length and breadth form the base
$(b)$. maximum when breadth and width form the base
$(c)$. maximum when width and length form the base
$(d)$. the same in all the above three cases
We know the formula for pressure $\boxed{P=\frac{Force(F)}{Area(A)}}$
Pressure is maximum when the area is minimum and that is possible only when breadth and width form the base as the weight of the girl is the same in each case.
So option $(b)$ is correct.
Related Articles
- A rectangular wooden block has length, breadth and height of 50 cm, 25 cm and 10 cm, respectively. This wooden block is kept on ground in three different ways, turn by turn. Which of the following is the correct statement about the pressure exerted by this block on the ground?(a) the maximum pressure is exerted when the length and breadth form the base(b) the maximum pressure is exerted when length and height form the base(c) the maximum pressure is exerted when breadth and height form the base(d) the minimum pressure is exerted when length and height form the base.
- The breadth of a rectangle is 4 cm less than its length if the length is increased by 4 cm and the breadth is decreased by 1 cm, the area of the rectangle is increased by $40\ cm^2$. Find the length and breadth of the rectangle.
- A brick is kept in three different ways on a table as shown in the figure. The pressure exerted by the brick on the table will be$(a)$. maximum in position A $(b)$. maximum in position C$(c)$. maximum in position B $(d)$. equal in all cases"
- Find the perimeter of a rectangle, whose length is 40 cm and breadth is 35 cm.
- The perimeter of a rectangle is 91 cm. Its length is $(2x-1)$ cm and breadth is $(x+9)$ cm. Find its length and breadth.
- If the length and breadth of a rectangle are \( 10 \mathrm{~cm} \) and \( 20 \mathrm{~cm} \), respectively, find the length of its diagonal.
- Find the lateral surface area and total surface area of a cuboid of length $80\ cm$, breadth $40\ cm$ and height $20\ cm$.
- The length and breadth of a rectangle are in the ratio 5:3. If the perimeter is 80 cm, find the length and breadth of rectangle.
- The length of a rectangle is greater than the breadth by 18cm. If both length and breadth are increased by 6 cm, then area increases by 168cm square. Find the length and breadth of the rectangle
- If the length and breadth of a rectangle are 9.2 cm and 1.5 cm respectively then the area of the rectangle will be?
- What is the perimeter of a rectangle of length 65 cm and breadth 55 cm?
- How many tiles of length and breadth 12 cm and 5 cm respectively will be needed to cover a rectangular region whose length and breadth are 100 cm and 144 cm respectively?
- Find the area and perimeter of the rectangle, if length $=46 cm$ and breadth $=25 cm$
- Find the area of a rectangle whose length is 36 cm and breadth 15 cm.
- A rectangle has a length 15 cm and the perimeter is 50 cm. Find the breadth of the rectangle.
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies