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The formula for the volume of a pyramid is V=(1)/(3)Bh where B is the area of the base and his the height. Rearrange the formula to solve for the area of the base (B) B=(h)/(3V) B=(3h)/(V) B=(3V)/(k) B=(V)/(3h)

Question

The formula for the volume of a pyramid is V=(1)/(3)Bh where B is the area of the base and his the height. Rearrange the formula to solve for the area of the base (B) B=(h)/(3V) B=(3h)/(V) B=(3V)/(k) B=(V)/(3h)

The formula for the volume of a pyramid is V=(1)/(3)Bh where B is the area of the base
and his the height. Rearrange the formula to solve for the area of the base (B)
B=(h)/(3V)
B=(3h)/(V)
B=(3V)/(k)
B=(V)/(3h)

Solution

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AzaleaMaster · Tutor for 5 years

Answer

### \( B = \frac{3V}{h} \)

Explain

## Step 1: Identify the given formula<br />### The given formula for the volume of a pyramid is \( V = \frac{1}{3} B h \).<br /><br />## Step 2: Isolate the variable \( B \)<br />### To solve for \( B \), we need to isolate it on one side of the equation. Start by multiplying both sides by 3 to eliminate the fraction:<br />\[<br />3V = Bh<br />\]<br /><br />## Step 3: Solve for \( B \)<br />### Divide both sides by \( h \) to solve for \( B \):<br />\[<br />B = \frac{3V}{h}<br />\]
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