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