Question

The volume of this rectangular prism is 441 cubic feet. What is the value of p?

7 ft
7 ft
p

Answer 1

To find the value of \( p \) in the rectangular prism with the given dimensions, 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, the dimensions of the prism are \( 7 \, \text{ft} \), \( 7 \, \text{ft} \), and \( p \, \text{ft} \). The volume is given as \( 441 \, \text{cubic feet} \). Therefore, we can set up the equation:

\[
7 \times 7 \times p = 441
\]

Calculating \( 7 \times 7 \):

\[
49 \times p = 441
\]

Next, we solve for \( p \) by dividing both sides of the equation by 49:

\[
p = \frac{441}{49}
\]

Calculating \( \frac{441}{49} \):

\[
p = 9
\]

Therefore, the value of \( p \) is \( \boxed{9} \).