Answer:
400 cm³
Step-by-step explanation:
The volume of the given figure can be found by using the composite figures present;
We have two simpler figures combined to form the given figure including;
a) A cube
b) A triangular prism
a) The volume of a cube, [tex]V_{cube}[/tex] = Length × Breadth × Height
∴ The volume of the cube, V₁ = 6 cm × 8 cm × 5 cm = 240 cm³
b) The volume of a triangular prism, [tex]V_{prism}[/tex] = Base length × Height × Length
The base length of the triangular prism= 8 cm
The height of the triangular prism = 4 cm
The length of the triangular prism = 5 cm
The volume of the triangular prism, V₂ = 8 cm × 4 cm × 5 cm = 160 cm³
Therefore;
The volume of the figure, V = V₁ + V₂
∴ V = 240 cm³ + 160 cm³ = 400 cm³
The volume of the figure of the finished object, V = 400 cm³.
