Question

A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. a rectangular prism is shown. the rectangle has sides lengths of 20 feet and 48 feet. the height of the prism is 10 feet. a smaller rectangular prism is cut out of the side. it has side lengths of 9 feet and 16 feet and a height of 10 feet. how many btus are needed to cool lucia’s apartment? 19,600 btus 19,800 btus 20,400 btus 24,000 btus

Answer 1

The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

What is of volume of rectangular prism?

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.

$V=w\times h\times l$

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,

$V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3$

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,

$n=8160\times2.5\\n=20400\rm\; btus$

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;

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