Question

How do I find the surface area of this triangular prism? please help me!!

Answer 1

Find the area of all the sides:
10 x 9 = 90
9 x 8 = 72
1/2 x 6 x 8 = 24
1/2 x 6 x 8 = 24
6 x 9 = 54

Add them up:
90 + 72 + 24 + 24 + 54 = 264 square metres

Answer 2

The lateral surface area is the product of the triangle perimeter and the length of the prism:
.. lateral area = (6 m +10 m +8 m)*(9 m) = 216 m^2

The end area is twice that of the end triangles, so is
.. end area = (6 m)*(8 m) = 48 m^2

The total area is the sum of these.
.. total area = lateral area + end area
.. total area = 216 m^2 +48 m^2 = 264 m^2