Find the Lateral area of a square pyramid with a slant height of 22m and a base length of 8m

Question

Find the Lateral area of a square pyramid with a slant height of 22m and a base length of 8m

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1 week 2021-10-05T03:33:31+00:00 1 Answer 0

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  1. Emma
    0
    2021-10-05T03:35:15+00:00

    Answer: 352 m^{2}

    Step-by-step explanation:

    To find the Lateral area of a square pyramid , we will follow the three steps below:

    1. Find the perimeter of the base

    2. Multiply the perimeter by the slant height

    3. Divide the result above by 2

    That is :

    The lateral surface area of a regular pyramid is lateral area = perimeter of base x slant height of pyramid) ÷ 2.

    Applying the formula above:

    1. The base is a square , therefore the perimeter of a square is 4L , That is

    Perimeter = 4(8)

    Perimeter = 32m

    2. Perimeter x slant height  , that is

    32 x 22 = 704m

    3. Dividing the result by 2 , we have :

    704/2 = 352

    Therefore , the Lateral area of the pyramid is 352 m^{2}

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