Question

A building is in the shape of a square pyramid each side of the base is 54 M long and the height is 260 M what is the volume of the building

Answer 1

V≈2.53×105^5

Explanation:

Base edge: 54

Height: 260

Formula to find volume is: V=a^2h /3

Hope this helps!

Answer 2

For this case we have that by definition, the volume of a square base pyramid is given by:

`V = \frac {1} {3} * L ^ 2 * h`

Where:

L: It's the side of the square base

h: It's the height of the pyramid

According to the data we have:

`L = 54\m\\h = 260\m`

Substituting in the formula:

`V = \frac {1} {3} * (54) ^ 2 * 260\\V = \frac {1} {3} * 2916 * 260\\V = \frac {1} {3} * (758160)\\V = 252,720 \ m ^ 3`

Thus, the volume of the building is
`252,720 \ m ^ 3`

Answer:

`252,720 \ m ^ 3`