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Find the surface area of the regular triangular pyramid.
The surface area is units2. (Round your answer to the nearest hundredth.)

Find the surface area of the regular triangular pyramid The surface area is units2 Round your answer to the nearest hundredth class=

Respuesta :

The surface of the pyramid: base + surface area of the sides.

The base area is:

By Heron formula,
s=8+8+8/2
=12

_/12(12-8)(12-8)(12-8)
=_/12(4)(4)(4)
=_/768
=27.7128..
≈27.71sq.units

The side surface areas:
(18×8/2)×3
=144/2×3
=216 sq.units

The total surface area:
216+27.71
=243.71 sq.units

Thus, 243.71 sq.units is the answer.

Hope it helps!