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Pressure 40 N/m², area 6 m², find the force

Step by step, with the reason for every step · Density, pressure, population density · Foundations

Step by step

The question

Question: find the force when the pressure is 40 N/m² and the area is 6 m².

Pressure 40 N/m², area 6 m². Find the force.

1 Write the rule

The rule: pressure is the force divided by the area.

pressure = forcearea

Pressure tells us how much force pushes on 1 m².

So its unit is N per m².

pressure = the force on 1 m²
unit: N ÷ m² → N/m²

2 Put the numbers in

The pressure is 40.

The area is 6.

The force is what we want: we call it f.

40 = f6

Careful!

The force goes on the top.

The unit, N/m², shows it: N on the top.

Careful: not 640 ✗

3 Remove the fraction

The bottom number is 6.

Times 6 will remove it.

We multiply both sides by 6, so they stay equal.

6 × 40 = 6 × f6

6 divided by 6 is 1.

So just f is left.

Write what is left.

6 × 40 = f

6 times 40 is 240.

240 = f

Let's swap the two sides, so f is on the left.

So f = 240.

f = 240

4 Check

Let's check: 240 divided by 6 is 40.

That is the pressure.

So the answer is right!

Check: 2406 = 40

So the force is 240 N.

Let's look back.

First: write the rule.

Then: put the numbers in.

Then: remove the fraction.

Last: check.

Answer
f = 240

Your turn

Try this one yourself, then check:

Pressure 8 N/m², area 12 m². Find the force.
Show the answer
force = 96 N

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