Question

The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid's base if the pyramid height is 3 meters?

Answer 1

Data:
V (volume) = 300 m³
Ab (area of the pyramid's base) = ?
h (height) = 3 m

The volume of a pyramid is given as a function of the area of ​​its base and the height h, according to the formula below:

`V = (1)/(3)* A_(b) *h`

Solving:

`V =(1)/(3)* A_(b) *h`

`300 =(1)/(3)* A_(b) *3`

`300 = (3 A_(b) )/(3)`

`300*3 = 3 A_(b)`

`900 = 3 A_(b)`

`3 A_(b) = 900`

`A_(b) = (900)/(3)`

`\boxed{\boxed{A_(b) = 300\:m^2}}\end{array}}\qquad\quad\checkmark`