To find the volume of a pyramid, you can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
First, calculate the base area. Since the base is a rectangle, the area \(A\) is:
\[ A = \text{length} \times \text{width} = 10 , \text{cm} \times 18 , \text{cm} = 180 , \text{cm}^2 \]
Now, using the height of the pyramid (12 cm), we can calculate the volume:
\[ \text{Volume} = \frac{1}{3} \times 180 , \text{cm}^2 \times 12 , \text{cm} \]
Calculating that gives:
\[ \text{Volume} = \frac{1}{3} \times 2160 , \text{cm}^3 = 720 , \text{cm}^3 \]
So, the volume of the pyramid is 720 cm³.