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The formula for the volume of a pyramid is [tex] V=\frac{1}{3} B h [/tex], where [tex] B [/tex] is the area of the base and [tex] h [/tex] is the height. Rearrange the formula to solve for the height ([tex] h [/tex]).

Sagot :

GinnyAnsweridn
Sure, let's rearrange the formula for the volume of a pyramid to solve for the height [tex]\( h \)[/tex].

The given formula for the volume [tex]\( V \)[/tex] of a pyramid is:
[tex]\[ V = \frac{1}{3} B h \][/tex]
where:
- [tex]\( V \)[/tex] is the volume of the pyramid,
- [tex]\( B \)[/tex] is the area of the base of the pyramid,
- [tex]\( h \)[/tex] is the height of the pyramid.

### Step-by-Step Solution:

1. Start with the given formula:
[tex]\[ V = \frac{1}{3} B h \][/tex]

2. Eliminate the fraction by multiplying both sides of the equation by 3:
[tex]\[ 3V = B h \][/tex]

3. Solve for the height [tex]\( h \)[/tex] by isolating [tex]\( h \)[/tex]:
[tex]\[ h = \frac{3V}{B} \][/tex]

So, the rearranged formula to solve for the height [tex]\( h \)[/tex] is:
[tex]\[ h = \frac{3V}{B} \][/tex]

This formula allows you to find the height of the pyramid if you know its volume and the area of its base.
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