Answer:
Option (4)
Step-by-step explanation:
To calculate the volume of a pyramid we use the formula,
V = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height of the pyramid})[/tex]
Area of the square base = (Side)²
= (6)²
= 36 square ft
Height of the pyramid 'h' = [tex]\sqrt{l^{2}-(\frac{\text{Side length of the base}}{2})^{2}}[/tex] [By Pythagoras theorem]
h = [tex]\sqrt{5^{2}-3^{2}}[/tex]
h = [tex]\sqrt{16}[/tex]
h = 4 ft
Therefore, volume of the given pyramid = [tex]\frac{1}{3}(36)(4)[/tex]
= 48 cubic ft
Option (4). 48 ft³ will be the answer.
