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What is the surface area of this figure?

What is the surface area of this figure?-example-1
User Ftkg
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1 Answer

5 votes

Answer:

888

Explanation:

Surface area of triangular prism + Surface area of cuboid MINUS base area of triangular prism

A=288 + 648 - 48

1. Surface area of triangular prism = 2(Area of triangular base) + (Perimeter of triangular base) x (Height of prism)

A=2Ab+(a+b+c)h

or

triangular prism Surface area = 2((1/2)bh) + (b1 + b2 + b3)h

triangular prism Surface area = 2((1/2)12*8) + (12 + 10 + 10)6

triangular prism Surface area = 2((1/2)96) + 96)

triangular prism Surface area = 2(48 + 96)

triangular prism Surface area = 2(144)

triangular prism Surface area = 288

2. Surface area of cuboid

Surface Area = 2(lw + lh + wh)

Surface Area = 2(18*6 + 18*9 + 6*9)

Surface Area = 2(108 + 162 + 54)

Surface Area = 2(324)

Surface Area = 648

3. base area of triangular prism

base area of triangular prism = ((1/2)b*h)

base area of triangular prism = ((1/2)12*8)

base area of triangular prism = ((1/2)96)

base area of triangular prism = 48

SA=288 + 648 - 48=888

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User Voitcus
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