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11 October, 11:11

An equilateral triangular prism has a lateral surface area of 132 meters and a height of 11 meters. What is the side length of the prism's base?

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  1. 11 October, 11:16
    0
    I think it's 24

    132 : 11 = 12

    12 x 2 = 24
  2. 11 October, 11:31
    0
    The formula in solving the lateral area of an equilateral triangular prism is:

    Lateral Surface Area = P (perimeter) * H (height)

    Lateral SA is given which is equal to 132 meters and the height is also given which is equal to 11 meters.

    132=P*H

    132=P*11

    P=132/11

    Perimeter=12 units

    The base is an equilateral triangle, therefore the side length is jus Perimeter divided by 3.

    Side length=P/3

    Side length=12 units/3

    Side length = 4 units

    The answer is 4.
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