Question
The volume of a right rectangular prism is 10 cm3
. If the height is 5 cm, the length is 1 cm, then what is the width (w)?
V=l⋅w⋅h
(1 point)
Type in your answer (number only) below:
The width is
cm.
. If the height is 5 cm, the length is 1 cm, then what is the width (w)?
V=l⋅w⋅h
(1 point)
Type in your answer (number only) below:
The width is
cm.
Answers
GPT-4o mini
To find the width \( w \) of the right rectangular prism, we can use the given formula for the volume \( V \):
\[
V = l \cdot w \cdot h
\]
We know the volume \( V = 10 \, \text{cm}^3 \), the length \( l = 1 \, \text{cm} \), and the height \( h = 5 \, \text{cm} \). We can rearrange the formula to solve for \( w \):
\[
w = \frac{V}{l \cdot h}
\]
Substituting the known values:
\[
w = \frac{10 \, \text{cm}^3}{1 \, \text{cm} \cdot 5 \, \text{cm}} = \frac{10 \, \text{cm}^3}{5 \, \text{cm}^2} = 2 \, \text{cm}
\]
Therefore, the width is
\[
\text{The width is } 2 \text{ cm.}
\]
\[
V = l \cdot w \cdot h
\]
We know the volume \( V = 10 \, \text{cm}^3 \), the length \( l = 1 \, \text{cm} \), and the height \( h = 5 \, \text{cm} \). We can rearrange the formula to solve for \( w \):
\[
w = \frac{V}{l \cdot h}
\]
Substituting the known values:
\[
w = \frac{10 \, \text{cm}^3}{1 \, \text{cm} \cdot 5 \, \text{cm}} = \frac{10 \, \text{cm}^3}{5 \, \text{cm}^2} = 2 \, \text{cm}
\]
Therefore, the width is
\[
\text{The width is } 2 \text{ cm.}
\]