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attashe74 [19]
2 years ago
8

Daniel is constructing boxes in the shape of triangular prism. How much cardboard is needed to make each box

Mathematics
1 answer:
tigry1 [53]2 years ago
8 0

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

                                                    = \frac{1}{2}(12)(9)

                                                    = 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

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