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12 August, 00:20

Martin is using unit cubes to build a tower in the shape of a right rectangular prism. A description of the tower is listed below.

Bottom layer is made of 16 unit cubes

Bottom layer is in the shape of a square prism

9 more equal layers of unit cubes are added in top of the bottom layer

What is the total volume, in cubic units, of the competed tower?

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  1. 12 August, 00:23
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    144 cubic units.

    Step-by-step explanation:

    From the question, we are given the following values.

    The bottom layer is made up of 16 unit cubes which comes in the shape of a square prism.

    This means the bottom layer = the are of the base of the rectangular prism = 16 square units

    From the question, we are also told that 9 more layers are added to the bottom layer of the rectangular prism. This means, the height of the rectangular prism = 9 units

    The formula to find the volume of a rectangular prism = Area of the base * Height of the rectangular prism

    Area of the base = 16 square units

    Height of the rectangular prism = 9 units

    Volume of the right rectangular prism = 16 square units * 9 units = 144 cubic units.

    Therefore, the total volume, in cubic units, of the competed tower is 144 cubic units.
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