What is the surface area of a figure with sides 8mm, 16mm, 6mm, 6mm, 6mm, 2mm, 10mm
To calculate the surface area of this figure, we need to determine what shape it is.
By looking at the sides given, it appears that this figure is a pentagon with one long side (16mm), two medium sides (8mm and 10mm), and three short sides (6mm, 6mm, 6mm, and 2mm).
To calculate the surface area of this pentagon, we will calculate the area of each trapezoid formed by the sides and then sum them up.
Area of Trapezoid = ((a + b) / 2) * h
Where:
a and b are the lengths of the parallel sides
h is the height
Area of first trapezoid = ((16 + 8) / 2) * 6 = 72 mm²
Area of second trapezoid = ((8 + 10) / 2) * 6 = 54 mm²
Area of third trapezoid = ((10 + 6) / 2) * 6 = 48 mm²
Area of fourth trapezoid = ((6 + 6) / 2) * 6 = 36 mm²
Area of fifth trapezoid = ((6 + 6) / 2) * 2 = 12 mm²
Total Surface Area = 72 + 54 + 48 + 36 + 12 = 222 mm²
Therefore, the surface area of the figure is 222 mm².