Question

What is the volume of the pyramid 150ft^3 540 ft^3 432 ft^3 48 ft^3

Answer 1

Answer:

Option (4)

Step-by-step explanation:

To calculate the volume of a pyramid we use the formula,

V = $\frac{1}{3}(\text{Area of the base})(\text{Height of the pyramid})$

Area of the square base = (Side)²

                                         = (6)²

                                         = 36 square ft

Height of the pyramid 'h' = $\sqrt{l^{2}-(\frac{\text{Side length of the base}}{2})^{2}}$ [By Pythagoras theorem]

h = $\sqrt{5^{2}-3^{2}}$

h = $\sqrt{16}$

h = 4 ft

Therefore, volume of the given pyramid = $\frac{1}{3}(36)(4)$

                                                                   = 48 cubic ft

Option (4). 48 ft³ will be the answer.