If the volume of a right rectangular prism is and its length and width have a product of , what is the height of
this prism? (1 point)
this prism? (1 point)
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GPT 3.5
Let the length of the rectangular prism be \( l \), the width be \( w \), and the height be \( h \).
Given that the volume of the prism is \( V \), the formula for the volume of a rectangular prism is given by:
\[ V = l \times w \times h \]
And also given that the product of the length and width is \( 60 \), we have:
\[ l \times w = 60 \]
Now, we need to find the height of the prism using the given volume:
\[ V = l \times w \times h \]
\[ 120 = 60 \times h \]
\[ h = \frac{120}{60} \]
\[ h = 2 \]
Therefore, the height of the rectangular prism is 2 units.
Given that the volume of the prism is \( V \), the formula for the volume of a rectangular prism is given by:
\[ V = l \times w \times h \]
And also given that the product of the length and width is \( 60 \), we have:
\[ l \times w = 60 \]
Now, we need to find the height of the prism using the given volume:
\[ V = l \times w \times h \]
\[ 120 = 60 \times h \]
\[ h = \frac{120}{60} \]
\[ h = 2 \]
Therefore, the height of the rectangular prism is 2 units.
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