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4 March, 05:05

The base of a pyramid is a rectangle with a width of 4.6cm and a length of 9cm. What is the height, in centimeters of the pyramid if it's volume is 82.8cm^3

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  1. 4 March, 05:10
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    Step-by-step explanation:

    The formula for determining the the volume of a rectangular base pyramid is expressed as

    Volume = 1/3 * base area * height

    From the information given,

    Length of base = 9 cm

    Width of base = 4.6 cm

    Area of base = 9 * 4.6 = 41.4 cm²

    Volume of pyramid = 82.8cm³

    Therefore

    82.8 = 1/3 * 41.4 * height

    82.8 = 13.8 * height

    Dividing both sides of the equation by 13.8, it becomes

    height = 82/13.8

    Height = 5.94 8 cm
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