# Video: US-SAT05S4-Q30-905131986367

The pressure π of an object is found by dividing the force πΉ done by the object by its area π΄. Which of the following equations give the force πΉ in terms of π and π΄? [A] πΉ = ππ΄ [B] πΉ = π/π΄ [C] πΉ = π΄/π [D] πΉ = π + π΄

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### Video Transcript

The pressure π of an object is found by dividing the force πΉ done by the object by its area π΄. Which of the following equations give the force πΉ in terms of π and π΄? A) πΉ equals π times π΄. B) πΉ equals π divided by π΄. C) πΉ equals π΄ divided by π. Or D) πΉ equals π plus π΄.

We know that the pressure π is β we can write that mathematically as saying π equals. Weβre dividing the force πΉ by the area π΄, which means we could say π equals πΉ divided by π΄. Another way to put that π equals πΉ over π΄. And we want this equation to be πΉ equal to something, πΉ in terms of π and π΄. We can do that by looking at our equation π equals πΉ over π΄ and solving for πΉ. We can multiply both sides of this equation by π΄. And then, weβll have π΄ times π equal to β well, times π΄ divided by π΄ cancels out, leaving us with πΉ. π΄ times π equals πΉ. The force equals the area times the pressure. Itβs also correct to say πΉ equals π times π΄. The force could equal the pressure times the area.

And so weβre looking for an answer choice that either says πΉ equals π΄π or πΉ equals ππ΄. And for us, thatβs option A. πΉ equals ππ΄.