Find the volume of this square pyramid, given that its height is 8 m. A) 24 m3. B) 72 m3. C) 216 m3. D) 648 m3.
Accepted Solution
A:
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.