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:
[tex]V = \frac{1}{3}* A_{b} *h[/tex]
Solving:
[tex]V =\frac{1}{3}* A_{b} *h[/tex]
[tex]300 =\frac{1}{3}* A_{b} *3[/tex]
[tex]300 = \frac{3 A_{b} }{3} [/tex]
[tex]300*3 = 3 A_{b} [/tex]
[tex]900 = 3 A_{b}[/tex]
[tex]3 A_{b} = 900[/tex]
[tex]A_{b} = \frac{900}{3} [/tex]
[tex]\boxed{\boxed{A_{b} = 300\:m^2}}\end{array}}\qquad\quad\checkmark[/tex]
