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9 December, 06:32

Find the volume of a right prism with height h=10 cm, if:

The base is a trapezoid with height htr = 3 cm and bases of 2 cm and 5cm

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  1. 9 December, 10:31
    0
    The volume of the prism is:

    V = Ab * h

    Where,

    Ab: base area

    h: prism height

    The area of the base is:

    Ab = (1/2) * (B + b) * (htr)

    Where,

    B: major base

    b: minor base

    htr: height of the trapeze

    Substituting values:

    Ab = (1/2) * (5 + 2) * (3)

    Ab = 10.5

    Then, the volume is:

    V = (10.5) * (10)

    V = 105 cm ^ 3

    Answer:

    The volume of the right prism is:

    V = 105 cm ^ 3
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