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erastova [34]
3 years ago
13

I need help finding the surface area, can someone help

Mathematics
1 answer:
choli [55]3 years ago
7 0

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 = \frac{1}{2}(\text{Base})(\text{Height})

                                          = \frac{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  

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