The figure below shows the net of a triangular pyramid. The given height is rounded to the nearest hundredth.
4.33 cm
-
5 cm
If all the triangles are equilateral, what is the surface area of the pyramid in square centimeters?
Answers
Given : the net of a triangular pyramid. The given height is rounded to the nearest hundredth 4.33 cm
Side of Equilateral Triangle = 5 cm
To Find : surface area of the pyramid
Solution:
surface area of the pyramid = 4 x Area of Each triangle
Area of triangle = (1/2) * base * height
= (1/2) * 5 * 4.33
surface area of the pyramid = 4 * (1/2) * 5 * 4.33
= 2 * 5 * 4.33
= 10 * 4.33
= 43.3 cm²
Even if height was not given
or We directly could find area of triangle = (√3 / 4) 5²
Surface area = 4 * (√3 / 4) 5²
= 25√3
= 25 * 1.732
= 43.3 cm²
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