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Exercise 10: Surface area of pyramids

Mathematics

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Here are the solutions for the geometry problems:

: Surface area of pyramids

  1. Calculate the surface area of the pyramids below.

a) Pyramid with a rectangular base:

  1. Identify the dimensions.

    Base length L=16L = 16 cm, base width W=12W = 12 cm.
    Slant height for the faces with base W=12W=12 cm is s1=20s_1 = 20 cm.

  2. Calculate the perpendicular height (hh) of the pyramid.

    Consider the right triangle formed by the pyramid's height, half of the base length, and the slant height s1s_1.
    Half of the base length is $\frac{16}{2} =

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