A model of a chicken coop has the shape of a triangular based prism the volume of the coop is 144m cubed the length of the coop is 12cm calculate the base are of the prism

The problem states the volume is $144 \text{ m}^3$ and the length is $12 \text{ cm}$. For a "model" and given the length in centimeters, it is highly probable that the volume unit was intended to be cubic centimeters. We will proceed with the assumption that the volume is $144 \text{ cm}^3$.

Given:
Volume ($V$) = $144 \text{ cm}^3$ (assuming the unit was intended to be $\text{cm}^3$)
Length ($L$) = $12 \text{ cm}$

The volume of a prism is calculated by multiplying its base area by its length.

$$V = \text{Base Area} \times L$$

To find the base area, divide the volume by the length.

$$\text{Base Area} = \frac{V}{L}$$

$$\text{Base Area} = \frac{144 \text{ cm}^3}{12 \text{ cm}}$$ $$\text{Base Area} = 12 \text{ cm}^2$$

The base area of the prism is $\text{12 cm}^2$.