The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
<h3>What is of volume of rectangular prism?</h3>
Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
![V=w\times h\times l](https://tex.z-dn.net/?f=V%3Dw%5Ctimes%20h%5Ctimes%20l)
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,
![V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3](https://tex.z-dn.net/?f=V%3D%5B%2820%5Ctimes12%29%2B%2820-9%29%5Ctimes16%2B%2820%5Ctimes20%29%5D%5Ctimes10%5C%5CV%3D8160%5Crm%5C%3B%20ft%5E3)
To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,
![n=8160\times2.5\\n=20400\rm\; btus](https://tex.z-dn.net/?f=n%3D8160%5Ctimes2.5%5C%5Cn%3D20400%5Crm%5C%3B%20btus)
Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
Learn more about the volume of a rectangular prism here;
brainly.com/question/4016105