Question

I need help finding the surface area, can someone help

Answer 1

1). Surface area of the prism = 112 cm²

2). Area of the sphere = 615.8 cm²

Explanation:

1). Surface area of the triangular prism = Area of the triangular bases + Area of three lateral (rectangular) sides

Area of a triangular base =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(3)(7)`

= 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