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

The ratio of the volume of the triangular prism to the volume of the cuboid is 3: 20

Step-by-step explanation:

The volume of the triangular prism V = bh × H, where

The volume of the cuboid V = L × W × H, where

∵ The base of the triangular prime is a right triangle with legs 5 cm, 4 cm

∴ b = 5 cm and h = 4 cm

∵ Its height is 9 cm

∴ H = 9 cm

→ Substitute them in the rule of the prism above

∵ V = (5)(4) × 9

∴ V = 90 cm³

∵ The dimensions of the base of the cuboid are 6 cm and 5 cm

∴ L = 6 cm and W = 5 cm

∵ Its height is 20 cm

∴ H = 20 cm

→ Substitute them in the rule of the cuboid above

∵ V = 6 × 5 × 20

∴ V = 600 cm³

→ Find the ratio between them

∵ V: V = 90: 600

→ Divide each term of the ratio by 30 to simplify them

∴ V: V = 3: 20

∴ The ratio of the volume of the triangular prism to the volume of

   the cuboid is 3: 20

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1