Question

next, your uncle moves on to the shorter portion of the school. since airflow must be properly distributed throughout the entire building, he needs to calculate the volume of this section as well. the shorter portion also has a rectangular prism shape with these dimensions: • height: 4 meters • width: 15 meters • length: 9 meters

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is given by \( V=\text{length}\times\text{width}\times\text{height}\), or \( V = l\times w\times h\).

Step2: Substitute the given values into the formula

Here, \( l = 9\space m\), \( w=15\space m\), and \( h = 4\space m\).
So, \( V=9\times15\times4\).
First, calculate \(9\times15\): \(9\times15=(10 - 1)\times15=150-15 = 135\).
Then, multiply the result by \(4\): \(V=135\times4=(100 + 35)\times4=400+140=540\).

Answer:

The volume of the shorter - portion (rectangular prism) is \(540\space m^{3}\).