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23 January, 13:40

A house is 50.0 ft long and 26 ft wide and has 8.0-ft-high ceilings. what is the volume of the interior of the house in cubic meters and in cubic centimeters? 290

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  1. 23 January, 13:42
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    The shape of the house is not specifically mentioned here so I assume that it has a conventional shape like that of a rectangular prism. A rectangular prism is like a shoe box, that has two bases, the one on top and at the bottom and 4 lateral sides. The volume of a rectangular prism is equal to

    V = Area of base * Height

    The area of base is also rectangular because of the given length of 50 ft and a width of 26 ft. Thus, the area of the rectangular base is

    Area of base = 50 ft * 26 ft = 1,300 ft²

    Then, we use the height which is equal to 8 ft to finally determine the volume.

    Volume = (1,300 ft²) (8 ft)

    Volume = 10,400 ft³
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