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25 December, 14:22

This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in square centimeters.

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  1. 25 December, 16:46
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    480 cm ^ 2

    Step-by-step explanation:

    To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

    We have that the surface area of a cube is:

    A = 6 * a ^ 2

    where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

    A = 6 * (4 ^ 2)

    A = 96

    96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:

    AT = 96 * 5

    AT = 480 cm ^ 2

    The surface area of the object formed with the cubes is 480 cm ^ 2
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