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alisha [4.7K]
2 years ago
7

Find the ratio of the volume of the triangular prism

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
8 0

Answer:

Ratio of the volume of the triangular prism and the volume of cuboid = 3 : 20

Step-by-step explanation:

Volume of a triangular prism = Area of the triangular base × Height

                                                = \frac{1}{2}(\text{Base})(\text{Height of the triangle}) × Height

                                                = [\frac{1}{2}(4)(5)] × 9

                                                = 90 cm³

Volume of the rectangular prism or cuboid = Length × Width × Height

                                                                        = 6 × 5 × 20

                                                                        = 600 cm³

Therefore, ratio of the volumes of triangular prism and cuboid = \frac{90}{600}

                                                                                                       = \frac{3}{20}

                                                                                                       = 3 : 20

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