To find the volume of an oblique square pyramid given its base edge and height, we follow the formula for the volume of a pyramid:
[tex]\[ V = \frac{1}{3} \times \text{base area} \times \text{height} \][/tex]
1. Determine the base area:
- The base of the pyramid is a square with side length [tex]\( x \)[/tex] cm.
- Therefore, the area of the base is:
[tex]\[
\text{base area} = x^2 \text{ cm}^2
\][/tex]
2. Given the height:
- The height of the pyramid is provided as [tex]\( 9 \)[/tex] cm.
3. Apply the volume formula:
- Substituting the base area and height into the volume formula:
[tex]\[
V = \frac{1}{3} \times (x^2) \times 9
\][/tex]
4. Simplify the expression:
- First, multiply the base area by the height:
[tex]\[
V = \frac{1}{3} \times 9x^2
\][/tex]
- Then, simplify the multiplication by dividing [tex]\( 9x^2 \)[/tex] by 3:
[tex]\[
V = 3x^2 \text{ cm}^3
\][/tex]
Therefore, the volume of the oblique square pyramid in terms of [tex]\( x \)[/tex] is:
[tex]\[ \boxed{3 x^2 \text{ cm}^3} \][/tex]
