Question

Find the volume of a square oblique pyramid whose base measures five feet per side, with a vertical height of 18 feet. A. 225 ft3 B. 150 ft3 C. 450 ft3 D. 90 ft3

Answer 1

B. 150 ft³

Explanation:

The general formula for the volume of a pyramid is:

V =
`(1)/(3)Bh` where B = the area of the base and h = height of the pyramid

Since the base of the pyramid is a square, we can take the length of the side squared:

A = s²

A = 5² = 25 ft²

Using B = 25 and h = 18:

V =
`(1)/(3)*25*18=150ft^(3)`

Answer 2

Answer with Step-by-step explanation:

The volume of a square oblique pyramid is given by:

volume =
`(1)/(3)bh`

Where:

b is the area of the base of the pyramid

h is its height.

Base is a square

so, base area(b)=area of square

= 5² feet²

= 25 feet²

and h=18 feet

Volume=
`(1)/(3)* 25* 18`

=150 feet³

Hence, Correct option is:

B. 150 ft³