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27 July, 15:41

A square pyramid has a side length each measuring 8 centimeters

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  1. 27 July, 15:49
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    Complete question is;

    A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral area of the pyramid?

    Answer:

    Lateral area = 80 cm²

    Step-by-step explanation:

    We are given;

    Side length; a = 8 cm

    Height of pyramid; h = 3 cm

    Now, formula for Lateral area of pyramid = ½ * p * L

    Where p is perimeter of base and L is slant length.

    Since we know the side length and height of pyramid, we can find the slant height using Pythagoreas theorem.

    L² = (½*side length) ² + h²

    L² = (½*8) ² + 3²

    L² = 16 + 9

    L = √25

    L = 5 cm

    Now perimeter of square base = 4a = 4 x 8 = 32cm

    So,

    Lateral area = ½ * p * L = ½ * 32 * 5

    Lateral area = 80 cm²
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