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The following formula gives the volume 
V of a pyramid, where 
A is the area of the base and 
h is the height:

V=(1)/(3)Ah
Rearrange the formula to highlight the base area.

A=◻

The following formula gives the volume V V of a pyramid, where A A is the area of the base and h h is the height:\newlineV=13Ah V=\frac{1}{3} A h \newlineRearrange the formula to highlight the base area.\newlineA= A=

Full solution

Q. The following formula gives the volume V V of a pyramid, where A A is the area of the base and h h is the height:\newlineV=13Ah V=\frac{1}{3} A h \newlineRearrange the formula to highlight the base area.\newlineA= A=
  1. Original formula for volume: Write down the original formula for the volume of a pyramid.\newlineThe formula for the volume VV of a pyramid is given by V=13AhV = \frac{1}{3}Ah, where AA is the area of the base and hh is the height.
  2. Isolating base area: Isolate the base area AA in the formula.\newlineTo solve for AA, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 33 and then dividing by hh.
  3. Multiplying by 33: Multiply both sides of the equation by 33.\newlineMultiplying both sides by 33 gives us 3V=Ah3V = Ah.
  4. Dividing by height: Divide both sides of the equation by hh.\newlineDividing both sides by hh gives us (3V)/h=A(3V)/h = A.
  5. Rearranged formula for base area: Write down the rearranged formula for AA.\newlineThe formula for the base area AA, when rearranged, is A=3VhA = \frac{3V}{h}.

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