Answered

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The formula for the volume of a rectangular pyramid is [tex]V=\frac{1}{3} l w h[/tex]. Solve the formula for [tex]w[/tex].

A. [tex]w=3 V-l h[/tex]

B. [tex]w=\frac{3 V}{l h}[/tex]

C. [tex]w=3 Vlh[/tex]

D. [tex]w=\frac{v}{3 / h}[/tex]

Sagot :

GinnyAnswer
To solve the formula for [tex]\( w \)[/tex] in the equation for the volume of a rectangular pyramid [tex]\( V = \frac{1}{3} l w h \)[/tex], follow these detailed steps:

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

2. Multiply both sides by 3 to eliminate the fraction:
[tex]\[ 3V = l w h \][/tex]

3. Isolate [tex]\( w \)[/tex] by dividing both sides by [tex]\( l h \)[/tex]:
[tex]\[ w = \frac{3V}{l h} \][/tex]

Thus, the formula solved for [tex]\( w \)[/tex] is:
[tex]\[ w = \frac{3V}{l h} \][/tex]

This corresponds to the second option:

[tex]\[ w = \frac{3 V}{l h} \][/tex]
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