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