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30 March, 03:48

The base of a right prism is a right triangle. The lengths of the legs of the triangle are 3 meters and 5 meters. The volume of the prism is 30 cubic meters. Find the height of the prism. A. 2 m B. 4 m C. 6 m D. 10 m

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Answers (2)
  1. 30 March, 06:41
    0
    B. 4 m

    Step-by-step explanation:

    The volume of a right prism is given by

    V = Bh

    Where B is the area of the base and h is the height

    B = 1/2 bh where b is 3 and h = 5

    B = 1/2 (3) (5)

    = 7.5

    V = Bh

    30 = 7.5 * h

    Divide by 7.5 on each side

    30/7.5 = 7.5 / 7.5 h

    4 = h

    The height is 4 m
  2. 30 March, 07:08
    0
    The height = 4 m answer (B)

    Step-by-step explanation:

    ∵ The volume of any prism = base area * height

    ∵ The base is a right angle Δ with 3 and 5

    ∴ Area the base = 1/2 * 3 * 5 = 7.5 m²

    ∵ the volume of it = 30 m³

    ∴ 30 = 7.5 * height

    ∴ The height = 30 : 7.5 = 4 m
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