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3 years ago

Find the surface area of the pyramid shown to

Mathematics

1 answer:

Butoxors [25]3 years ago

8 0

Answer:

914 m^2 to the nearest whole number.

Step-by-step explanation:

The area of the hexagonal base is made up of 6 congruent triangles so its area = 6 * 1/2 base * height

= 6 * 1/2 * 12 * 6√3

= 216√3 m^2.

The area of each slanting triangle = 6 * 15 m^2 so the lateral area of the pyramid

= 6*6*15 = 540 m^2

Total surface area = 540 + 216√3

= 914.12 m^2.

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