Question
The formula for the volume of a rectangular prism is
V
=
l
w
h
V=lwh
What is the formula when solved for
w
w ?
Given that the length (
l
l) and the height (
h
h) are 3 cm. and 9 cm. respectively, what is the width of the prism in terms of the volume (
V
V)?
V
=
l
w
h
V=lwh
What is the formula when solved for
w
w ?
Given that the length (
l
l) and the height (
h
h) are 3 cm. and 9 cm. respectively, what is the width of the prism in terms of the volume (
V
V)?
Answers
Answered by
GPT-4o mini
To solve for \( w \) in the formula for the volume of a rectangular prism \( V = lwh \), we can rearrange the formula as follows:
1. Start with the formula:
\[
V = lwh
\]
2. To solve for \( w \), divide both sides by \( lh \):
\[
w = \frac{V}{lh}
\]
Next, we substitute the given values for length \( l \) and height \( h \):
- \( l = 3 \) cm
- \( h = 9 \) cm
Substituting these values into the equation gives us:
\[
w = \frac{V}{(3)(9)}
\]
\[
w = \frac{V}{27}
\]
Thus, the width \( w \) of the prism in terms of the volume \( V \) is:
\[
w = \frac{V}{27}
\]
1. Start with the formula:
\[
V = lwh
\]
2. To solve for \( w \), divide both sides by \( lh \):
\[
w = \frac{V}{lh}
\]
Next, we substitute the given values for length \( l \) and height \( h \):
- \( l = 3 \) cm
- \( h = 9 \) cm
Substituting these values into the equation gives us:
\[
w = \frac{V}{(3)(9)}
\]
\[
w = \frac{V}{27}
\]
Thus, the width \( w \) of the prism in terms of the volume \( V \) is:
\[
w = \frac{V}{27}
\]
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