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25 June, 04:07

Martin is using unit cubes to build a tower in the shape of a rectangular prism. A decripion of the tower is listed the bottom layer is made of 16 unit cubes. the bottom layer shape is in the shape of a square prism. 9 more equal layers of unit cubes are added on the top of the bottom layer. what is the total volume in cubic units of the completed tower

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  1. 25 June, 05:32
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    Volume of the completes tower = 160 units³

    Step-by-step explanation:

    Martin is using unit cubes to build a tower in the shape of rectangular prism.

    Bottom layer of the prism is in the square shape.

    Since number of unit cubes used in the bottom layer = 16

    So, one side of the square base will measure = √16 = 4 units

    Therefore, Length = width = 4 units

    On this base, additional layers added on the top = 9

    Therefore, height of the tower = (9 + 1) = 10 units (each layer having 16 cubes)

    Volume of the tower = Volume of the rectangular prism

    = Length * width * height

    = 4*4*10

    = 160 cubic units.

    Volume of the completed tower will be 160 cubic units.
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