family5pritchard
family5pritchard family5pritchard
  • 18-05-2022
  • Mathematics
contestada

Find the surface area of a triangular prism that has a height of 11 meters and the triangular base shown. All dimensions are in meters.



S
A
=


m
2

Find the surface area of a triangular prism that has a height of 11 meters and the triangular base shown All dimensions are in meters S A m 2 class=

Respuesta :

rvkacademic
rvkacademic rvkacademic
  • 22-05-2022

Answer:

146 m²

Step-by-step explanation:

The total base area = base x length =  4 x 11 = 44 (1)

The area of each triangular surface = /2 x base x height = 1/2 * 4 * 3.5 = 7 and the areas of both triangular surfaces = 2 x 7 = 14 (2)

The surface area of each of the lateral surfaces = side of triangle x length = 4 x 11 = 44

The area of both lateral surfaces = 2 x 44 = 88 (3)

Adding up (1), (2) and (3) gives us 146 m² as the total surface area

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