# Lesson Worksheet: Pressure Mathematics

In this worksheet, we will practice calculating the pressure produced by a force of given intensity over a given area and converting between different pressure units.

**Q1: **

Which of the following represents a relation between pressure, , force, , and area, ?

- A
- B
- C
- D
- E

**Q2: **

A metal cube with a side length of 10 cm rests on one of its faces on a desk. If the cube weighs 5,000 N, what is the pressure exerted by the cube on the desk?

**Q3: **

Which of the following is **not** a unit of pressure?

- Akgā
m
^{ā1}ā s^{ā2} - BNā
m
^{2} - CPa
- DNā
cm
^{ā2} - ENā
m
^{ā2}

**Q4: **

A body of weight 340 N stands on the ground on its base. If it exerts a pressure of 170 Pa on the ground, find the area of the base of the body.

**Q5: **

A metal cylinder with a base area of 0.2 m^{2} is resting with one of its circular faces on the ground.
If it exerts a pressure of 230 Pa on the ground, what is the weight of the cylinder?

**Q6: **

True or False: The formula, , can be used to measure the pressure produced by a force of given intensity.

- ATrue
- BFalse

**Q7: **

If a force of 238 N is applied by a rectangle with side lengths 4 m and 6 m on a surface, find the pressure applied by the rectangle on the surface. Give your answer to the nearest hundredth.

**Q8: **

Find the pressure of a solid box applying a force of 21 N on an area of 193 cm^{2}.
Give your answer to the nearest tenth.

**Q9: **

A circular cylinder with base radius 4 cm applies a force of 25 N. Find the pressure applied by the circle on the surface. Give your answer to the nearest hundredth.

**Q10: **

An object applies a force of 18 N.
If the pressure applied on the surface is 0.21 N/cm^{2},
what is the area of the base of that object? Give your answer to the nearest
hundredth.