Find the volume of a pyramid with a square base, where the area of the base is 6.8m^2
and the height of the pyramid is 8.6. Round your answer to the nearest tenth of a cubic meter.

Respuesta :

Answer:

[tex]19.5\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex], where [tex]s[/tex] is the base edge and [tex]h[/tex] is the height. Since the base area ([tex]s^2[/tex]) is already given to us, we can substitute directly in to our equation.

Solving for [tex]V[/tex]:

[tex]V=\frac{1}{3}\cdot 6.8\cdot 8.6\approx \boxed{19.5\:\mathrm{m^3}}[/tex]

The answer on deltamath is

19.5m^3

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