Answer:
Total surface area = 536.6 cm²
Step-by-step explanation:
Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)
Area of rectangle (1) = Length × Width
= 10 × 15
= 150 cm²
Area of rectangle (2) = 10 × 15
= 150 cm²
Area of rectangle (3) = 10 × 15
= 150 cm²
Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]
= 43.3 cm²
Total surface area = 150 + 150 + 150 + 43.3 + 43.3
= 536.6 cm²