1 Answer

Arthur Ulfeldt · Answer 1 · 2023-09-28T21:34:23+0000

V = 2176/3 or approximately 725.30 m³

1) Since this figure is made of a pyramid and a cube then let's find the Volume of the Cube, by plugging the measure of its side into the formula:

$V=a^3\Rightarrow V=8^3\Rightarrow V=512m^3$

2) Let's proceed with the Pyramid's volume, note that we have to calculate the area of the base (in this case a square) times the height times 1/3

$\begin{gathered} V=(1)/(3)S\cdot h \\ V=(1)/(3)\cdot8^2\cdot10 \\ V=(640)/(3) \end{gathered}$

3) Finally, we can add them up:

$\begin{gathered} V=(640)/(3)+512 \\ V=(2176)/(3)or725.33m^3 \end{gathered}$

Hence the answer is V = 2176/3 or approximately 725.33 m³

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