Find the ratio of the volume of the triangular prism
to the volume of the cuboid.
Give your answer in its simplest form.
4 cm
20 cm
9 cm
5 cm
5 cm
6 cm

Find the ratio of the volume of the triangular prism to the volume of the cuboid Give your answer in its simplest form 4 cm 20 cm 9 cm 5 cm 5 cm 6 cm class=

Respuesta :

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

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

                                                = [tex][\frac{1}{2}(4)(5)][/tex] × 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 = [tex]\frac{90}{600}[/tex]

                                                                                                       = [tex]\frac{3}{20}[/tex]

                                                                                                       = 3 : 20

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