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Help me please if you know how to do this

Help me please if you know how to do this-example-1
User Nick Heer
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2 Answers

5 votes

Answer:hi

Explanation:

sorry i needed the points

User Davestevens
by
8.2k points
3 votes

Answer:

135.6 ft²

Explanation:

Surface area of triangular pyramid:

In the triangular pyramid, base is an equilateral triangle, and the lateral faces are congruent triangles. So, to find the surface area add the area of base triangle with the area of 3 lateral triangles.

a) Base area of pyramid:

b= 8 cm

h = 6.9 cm


\boxed{\bf base \ area \ of \ pyramid = (1)/(2)*b*h}


= (1)/(2)*8*6.9\\\\=4*6.9\\\\= 27.6 \ ft^2

b) Area of one lateral surface area of pyramid:

b = 8 cm

slant height = l = 9 cm


\boxed{\text{\bf area of one lateral surface area of the pyramid = }(1)/(2)b*l}


\sf = (1)/(2)*8*9\\\\= 4 * 9\\\\= 36 \ ft^2

c) Lateral surface area of the pyramid = 3 * area of one lateral surface area of pyramid

= 3 * 36

= 108 ft²

d)TSA of pyramid:


\boxed{\text{\bf Total surface area of pyramid = base area + lateral surface area}}

= 27.6 + 108

= 135.6 ft²

User Aivar Paalberg
by
7.7k points