Question

The figure below is a net for a triangular pyramid.6.06 ft-----------7 ftIf all the triangles are equilateral, what is the surface area ofthe pyramid, in square feet?

Answer 1

Given the net of a triangular pyramid:

As shown: all the triangles are equilateral triangles

The length of the side of the triangle = 7 ft

The height of the triangle = 6.06 ft

so, the area of one triangle =

`(1)/(2)\cdot\text{base}\cdot\text{height}=(1)/(2)\cdot7\cdot6.06=21.21ft^2`

The pyramid consists of 4 triangles

So, the surface area =

`4\cdot21.21=84.84ft^2`

so, the answer will be A = 84.84 ft^2