# 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?

• Akg⋅m−1⋅s−2
• BN⋅m2
• CPa
• DN⋅cm−2
• EN⋅m−2

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 m2 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 cm2. 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/cm2, what is the area of the base of that object? Give your answer to the nearest hundredth.