Question

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

Answer 1

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

Explanation:

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

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

=
`[(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 =
`(90)/(600)`

=
`(3)/(20)`

= 3 : 20