Answer
The furnace is not appropriately effective to heat the house.
Work Step by Step
In order to determine, whether the furnace would be adequate to heat the house or not. One is required to compute the volume of the house.
Compute the volume of the house using the equation as shown below:
\[\begin{align}
& \text{Volume of the house}=\text{Area of base of house}\times \text{Height of Ceiling} \\
& \text{=}\left( 1400\text{ ft}\times 9\text{ ft} \right) \\
& =12,600\text{ foo}{{\text{t}}^{\text{2}}}
\end{align}\]
Now, since the volume of the house is comparatively more than the capacity of the furnace to heat the house. It can be concluded that the furnace is not adequate to heat the house in an appropriate way.
