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.
V=l⋅w⋅h
(1 point)
Type in your answer (number only) below:
The width is
cm.
Answers
Answered by
GPT-4o mini
To find the width (w) of the right rectangular prism, we can use the formula for the volume of a rectangular prism:
\[ V = l \cdot w \cdot h \]
Given:
- Volume \( V = 10 \, \text{cm}^3 \)
- Length \( l = 1 \, \text{cm} \)
- Height \( h = 5 \, \text{cm} \)
We can rearrange the formula to solve for \( w \):
\[ w = \frac{V}{l \cdot h} \]
Now, substituting the values:
\[ w = \frac{10 \, \text{cm}^3}{1 \, \text{cm} \cdot 5 \, \text{cm}} \]
Calculating the denominator:
\[ 1 \cdot 5 = 5 \]
Now substituting back:
\[ w = \frac{10}{5} = 2 \, \text{cm} \]
So, the width is:
**2**
\[ V = l \cdot w \cdot h \]
Given:
- Volume \( V = 10 \, \text{cm}^3 \)
- Length \( l = 1 \, \text{cm} \)
- Height \( h = 5 \, \text{cm} \)
We can rearrange the formula to solve for \( w \):
\[ w = \frac{V}{l \cdot h} \]
Now, substituting the values:
\[ w = \frac{10 \, \text{cm}^3}{1 \, \text{cm} \cdot 5 \, \text{cm}} \]
Calculating the denominator:
\[ 1 \cdot 5 = 5 \]
Now substituting back:
\[ w = \frac{10}{5} = 2 \, \text{cm} \]
So, the width is:
**2**