Question
What’s the width of right rectangular prism with volume of 100 units cubed height of 10 and length of 5
Answers
GPT-4o mini
To find the width of a right rectangular prism, we can use the formula for the volume of a prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Given the volume \( V = 100 \) cubic units, height \( h = 10 \) units, and length \( l = 5 \) units, we can rearrange the formula to solve for the width \( w \):
\[
w = \frac{V}{l \times h}
\]
Substituting the known values into the equation:
\[
w = \frac{100}{5 \times 10}
\]
Calculating the product of length and height:
\[
5 \times 10 = 50
\]
Now substituting back into the equation for width:
\[
w = \frac{100}{50} = 2
\]
Thus, the width of the rectangular prism is \( 2 \) units.
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Given the volume \( V = 100 \) cubic units, height \( h = 10 \) units, and length \( l = 5 \) units, we can rearrange the formula to solve for the width \( w \):
\[
w = \frac{V}{l \times h}
\]
Substituting the known values into the equation:
\[
w = \frac{100}{5 \times 10}
\]
Calculating the product of length and height:
\[
5 \times 10 = 50
\]
Now substituting back into the equation for width:
\[
w = \frac{100}{50} = 2
\]
Thus, the width of the rectangular prism is \( 2 \) units.