Question

Han has to build the figure below, which will serve as a counterweight for his robotics project.Find the volume in cubic centimeters of the finished object assuming it is empty inside. Round to the nearest tenth if necessary.

Answer 1

The figure is the combination of two figures, a cuboid and a triangular prism.

Find the volume of the cuboid as follows:

$V_1=5\times8\times6=240$

The volume of the triangular prism is given below:

$\begin{gathered} V_2=\frac{1}{2}\times4\times8\times5 \\ =80 \end{gathered}$

Thus, the volume of the object is 240 + 80 = 320 cm^3.