Question

find the volume of the oblique rectangular prism with length 9 cm, width 6 cm, and height 9 cm.

Explanation:

Step1: Recall the volume formula for a prism

The volume formula for any prism (including oblique prism) is \(V = B\times h\), where \(B\) is the base area and \(h\) is the height. For a rectangular prism, the base area \(B=\text{length}\times\text{width}\).

Step2: Calculate the base area

Given length \(l = 9\space\text{cm}\) and width \(w = 6\space\text{cm}\), then \(B=l\times w=9\times6 = 54\space\text{cm}^2\).

Step3: Calculate the volume

The height \(h = 9\space\text{cm}\). Using the formula \(V=B\times h\), substitute \(B = 54\space\text{cm}^2\) and \(h=9\space\text{cm}\). So \(V=54\times9=486\space\text{cm}^3\).

Answer:

\(486\)