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FW = 6 units, X = 3 units, and Y = 5 units, what is the surface area of the figure?

FW 6 Units X 3 Units And Y 5 Units What Is The Surface Area Of The Figure class=

Sagot :

The surface area of the figure is approximately: 178 units².

How to Find the Surface Area of a Figure?

The surface area of any figure is the area of all its faces.

Find the area of each face as shown below:

Area of base = w² = 6² = 36 units²

Area of the 4 rectangular faces = 4(6)(3) = 72 units²

Area of the 4 triangular faces = 4[1/2bh]

b = w = 6 units

h = √(y² + (w/2)²) = √(5² + (6/2)²) = 5.8 units

Area of the 4 triangular faces = 4[1/2(6)(5.8)] = 69.6 units²

Surface area = 36 + 72 + 69.6 ≈ 178 units²

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