Respuesta :
Answer:
A) [tex]24\text{ m}^3[/tex].
Step-by-step explanation:
We have been given an image of a square pyramid and we are asked to find the volume of our given pyramid.
[tex]\text{Volume of square pyramid}=\frac{a^2*h}{3}[/tex], where,
a = Base length of square,
h = height of pyramid.
Upon substituting our given values in above formula we will get,
[tex]\text{Volume of square pyramid}=\frac{\text{(3 m)}^2*\text{ 8 m}}{3}[/tex]
[tex]\text{Volume of square pyramid}=\frac{9\text{ m}^2*\text{ 8 m}}{3}[/tex]
[tex]\text{Volume of square pyramid}=\frac{72\text{ m}^3}{3}[/tex]
[tex]\text{Volume of square pyramid}=24\text{ m}^3[/tex]
Therefore, the volume of our given square pyramid is 24 cubic meters and option A is the correct choice.