To find the volume of a pyramid, you can use the formula:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
For a rectangular base, the area of the base can be calculated as:
\[ \text{Base Area} = \text{Length} \times \text{Width} \]
Given the measurements:
- Length = 10 cm
- Width = 18 cm
- Height = 12 cm
First, calculate the base area:
\[ \text{Base Area} = 10 , \text{cm} \times 18 , \text{cm} = 180 , \text{cm}^2 \]
Now, use the base area to calculate the volume of the pyramid:
\[ \text{Volume} = \frac{1}{3} \times 180 , \text{cm}^2 \times 12 , \text{cm} = \frac{1}{3} \times 2160 , \text{cm}^3 = 720 , \text{cm}^3 \]
Thus, the volume of the pyramid is:
\[ \boxed{720 , \text{cm}^3} \]
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