109.9 ft³
1) Considering that the Volume of a cube is given by:
V =a³
V = 8³
V =512 ft³
2) And the cylinder cut out has the following measures:
radius: 4 ft
height = 8
[tex]\begin{gathered} V_{\text{cylinder}}=\pi\cdot r^2\cdot h \\ V=\pi\cdot4^2\cdot8 \\ V=128\pi ft^3 \end{gathered}[/tex]
3) So let's subtract from 512 ft³ the Volume of the Cylinder: 128π
512 -128π = 109.876 and rounding off to the nearest tenth 109.9.
Note that the rounding off is always at the very last moment.
