Answer:
Area of cardboard required = 468 cm²
Step-by-step explanation:
Area of the cardboard required = Surface area of the triangular prism
Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides
Area of the one triangular side = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(12)(9)[/tex]
= 54 cm²
Area of lateral sides = Perimeter of the triangular base × Height
Perimeter of the triangular base = 9 + 12 + 15
= 36 cm
Now area of the lateral sides = (36) × 10
= 360 cm²
Surface area of the prism = 360 + 2(54)
= 360 + 108
= 468 cm²
Therefore, area of cardboard required for each box = 468 cm²