Answer:
1). Surface area of the prism = 112 cm²
2). Area of the sphere = 615.8 cm²
Step-by-step explanation:
1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides
Area of a triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(3)(7)[/tex]
= 10.5 cm²
Area of a rectangle = Length × width
Area of the rectangular lateral sides = (3 × 5) + (8 × 5) + (7 × 5)
= 15 + 40 + 35
= 90 cm²
Surface area of the prism = (2 × 10.5) + 90
= 21 + 90
= 112 cm²
2). Surface area of the sphere = 4πr²
= 4π(7)²
= 615.75
≈ 615.8 cm²
