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384

Step-by-step explanation:

8 x 6 = 48

48 x 2 = 96

12 x 10 = 120

6 x 12 = 72

8 x 12 = 96

96 + 120 + 72 +96 = 384

Step-by-step explanation:

Remark

Surface area for this = Top +  bottom + left side + 2 triangles.

The hypotenuse of the triangle can be found by the Pythagorean Theorem.

a^2 + b^2 = c^2

a = 6

b = 8

c = ?

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

sqrt(c^2) = sqrt(100)

c = 10

Top

Top = Length * Width

Top = 12 * hypotenuse

Top = 12 * 10

Top       =                                         120

Left side = L*W

L = 12

W = 6

Area = 6 * 12

Area =                                               72            

Two triangles

Two Triangles = 2* (1/2) * 6 * 8 =   48  

Base

W = 8

L = 12

Area = L*W

Area = 8 * 12                                   96

Total area = 96 + 48 + 72+120 = 336

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