Question
What is the width of a rectangular prism with the volume of 100 units cubed, height of 10 units, and length of 5 units?(1 point)
units
Remaining Attempts : 3
units
Remaining Attempts : 3
Answers
GPT-4o mini
To find the width of a rectangular prism, you can use the formula for the volume of a rectangular prism:
\[
V = l \times w \times h
\]
Where:
- \( V \) is the volume,
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.
Given:
- Volume \( V = 100 \) cubic units,
- Height \( h = 10 \) units,
- Length \( l = 5 \) units.
We can rearrange the formula to solve for the width \( w \):
\[
w = \frac{V}{l \times h}
\]
Now, substituting the known values:
\[
w = \frac{100}{5 \times 10}
\]
Calculating the denominator:
\[
5 \times 10 = 50
\]
Now substituting:
\[
w = \frac{100}{50} = 2
\]
So, the width of the rectangular prism is \( 2 \) units.
\[
V = l \times w \times h
\]
Where:
- \( V \) is the volume,
- \( l \) is the length,
- \( w \) is the width,
- \( h \) is the height.
Given:
- Volume \( V = 100 \) cubic units,
- Height \( h = 10 \) units,
- Length \( l = 5 \) units.
We can rearrange the formula to solve for the width \( w \):
\[
w = \frac{V}{l \times h}
\]
Now, substituting the known values:
\[
w = \frac{100}{5 \times 10}
\]
Calculating the denominator:
\[
5 \times 10 = 50
\]
Now substituting:
\[
w = \frac{100}{50} = 2
\]
So, the width of the rectangular prism is \( 2 \) units.