The surface area of the figure is 276.5 cm²
What is the surface area of the figure?
The composite figure consists of 3 shapes
Shape 1:
Surface area = 2(lw+lh+hw)
= 2(4.5×2.5 + 4.5×5.5 + 5.5×2.5)
= 2(11.25 + 24.75 + 13.75)
= 2(49.75)
= 99.50 cm²
Shape 2:
Surface area = 2(lw+lh+hw)
= 2(5.5×2.5 + 5.5×6.5 + 6.5×2.5)
= 2(13.75 + 35.75 + 16.25)
= 2(65.75)
= 131.50 cm²
Shape 3:
Surface area = 2(lw+lh+hw)
= 2(3.5×3.5 + 3.5×1.5 + 1.5×3.5)
= 2(12.25 + 5.25 + 5.25)
= 2(22.75)
= 45.50 cm²
Therefore,
Surface area = 99.50 cm² + 131.50 cm² + 45.50 cm²
= 276.5 cm²