To determine the volume of glass that forms the bead, you have to calculate the volume of the large rectangular prism and the volume of the small rectangular prism, then you have to subtract the volume of the smaller prism to the volume of the larger one.
To determine the volume of a rectangular prism you have to multiply the dimensions of the prism following the formula:
[tex]V=w\cdot l\cdot h[/tex]w: represents the width
l: represents the length
h: represents the height
Large prism:
The width is 6cm, the length is l=7cm, and the height is h=6cm.
[tex]\begin{gathered} V=6\cdot7\cdot6 \\ V=252\operatorname{cm}^3 \end{gathered}[/tex]Small prism
The width is 2cm, the length is l=7cm, and the height is 2cm.
[tex]\begin{gathered} V=2\cdot7\cdot2 \\ V=28\operatorname{cm}^3 \end{gathered}[/tex]Subtract the volume of the small prism from the volume of the large prism:
[tex]2252-28=224\operatorname{cm}^3[/tex]The volume of glass that forms the bead is 224cm³
