he volume of this rectangular prism is 5,040 cubic millimeters. What is the value of p?

14 mm
18 mm
p

p =
millimeters

1 answer

To find the value of \( p \) in the volume of a rectangular prism, we can use the formula for the volume of a rectangular prism:

\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]

In this case, we have:

\[ V = 14 , \text{mm} \times 18 , \text{mm} \times p \]

Given that the volume is 5,040 cubic millimeters, we can set up the equation:

\[ 14 \times 18 \times p = 5040 \]

First, calculate \( 14 \times 18 \):

\[ 14 \times 18 = 252 \]

Now, substitute this back into the equation:

\[ 252 \times p = 5040 \]

To isolate \( p \), divide both sides by 252:

\[ p = \frac{5040}{252} \]

Now, calculate \( \frac{5040}{252} \):

\[ p = 20 \]

Thus, the value of \( p \) is:

\[ \boxed{20 , \text{millimeters}} \]