Step-by-step explanation:
Length of house, l = 54 ft = 16.45 m
Breadth of house, b = 48 ft = 14.63 m
Height of house, h = 8 ft = 2.43 m
We need to find the volume of the interior of the house. The house is in the form of cuboid. The volume of cuboid is given by :
![V=l* b* h](https://img.qammunity.org/2020/formulas/mathematics/high-school/cubws6ota8q35n0pqky5pb6rn0fzptsky3.png)
![V=16.45\ m* 14.63\ m* 2.43\ m](https://img.qammunity.org/2020/formulas/physics/college/87upnklmpy5agejw47eq89w0gwjkrrr4hy.png)
![V=584.81\ m^3](https://img.qammunity.org/2020/formulas/physics/college/g8rxh8bxw9qrimz5clux66zodtcttgdn00.png)
Since,
![1\ m^3=1000000\ cm^3](https://img.qammunity.org/2020/formulas/physics/college/29jlx8xrjjt7wv4s2kp8pv15hrd0ge3dua.png)
or the volume of the interior of the house,
![V=5.84* 10^8\ cm^3](https://img.qammunity.org/2020/formulas/physics/college/sc599ptbwhs2edy0vgg36ps5xiqp1nmxef.png)
Hence, this is the required solution.