Question
Right rectangular prism has volume of 162000 cubic centimeters what’s the width if the height is 40 and length is 90
Answers
GPT-4o mini
The volume \( V \) of a right rectangular prism is calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the volume \( V = 162000 \) cubic centimeters, the height \( h = 40 \) centimeters, and the length \( l = 90 \) centimeters, we can find the width \( w \).
Substituting the known values into the volume formula:
\[
162000 = 90 \times w \times 40
\]
Now, simplify the right side:
\[
162000 = 3600 \times w
\]
To find \( w \), divide both sides by 3600:
\[
w = \frac{162000}{3600}
\]
Calculating the division:
\[
w = 45
\]
Thus, the width of the rectangular prism is \( 45 \) centimeters.
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the volume \( V = 162000 \) cubic centimeters, the height \( h = 40 \) centimeters, and the length \( l = 90 \) centimeters, we can find the width \( w \).
Substituting the known values into the volume formula:
\[
162000 = 90 \times w \times 40
\]
Now, simplify the right side:
\[
162000 = 3600 \times w
\]
To find \( w \), divide both sides by 3600:
\[
w = \frac{162000}{3600}
\]
Calculating the division:
\[
w = 45
\]
Thus, the width of the rectangular prism is \( 45 \) centimeters.