Question

PLEASE HELP, NO LINKS FAKE ANSWERS WILL GET REPORTED. Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.

Answer 1

400 cm³

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,
`V_(cube)` = Length × Breadth × Height

∴ The volume of the cube, V₁ = 6 cm × 8 cm × 5 cm = 240 cm³

b) The volume of a triangular prism,
`V_(prism)` = 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.