Answer:
The volume of the given pyramid is 300 cm³
Step-by-step explanation:
The volume of a pyramid, [tex]V_{pyramid}[/tex], is given as follows;
[tex]V_{pyramid} = \dfrac{1}{3} \times Base \ area \times Height[/tex]
The height of the pyramid = 12 cm
The side length of the square base of the pyramid = 5 cm
The base area of the pyramid polyhedron with square base = 5 cm × 5 cm = 25 cm²
Therefore, by substitution, we have;
[tex]V_{pyramid} = \dfrac{1}{3} \times 25 \ cm^2 \times 12 \ cm = 300 \ cm^3[/tex]
The volume of the given pyramid, V = 300 cm³.
