Question

What is the volume of the pyramid

150ft^3
540 ft^3
432 ft^3
48 ft^3

Answer 1

Option (4)

Explanation:

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

V =
`(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 =
`√(16)`

h = 4 ft

Therefore, volume of the given pyramid =
`(1)/(3)(36)(4)`

= 48 cubic ft

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