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Geometry · Solids

Pyramid side 6 height 4

Step by step

  1. s = 6,\ h = 4

    Square pyramid.

  2. V = \tfrac{1}{3} s^2 h = 48

    Volume: a third of the box around it.

  3. S = s^2 + 2 s \ell,\ \ell = \sqrt{h^2 + (s/2)^2} = 5

    Surface area = base + four triangles.

Reveal the answer
V = 48,\quad S = 96