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Pc = 350[cm^2]
a = x [cm]
H = 3x[cm]
szukane:
v = ?
Rozw.
Pc = 2a^2 + 4 aH
Pc = 2 * x^2 + 4 * x * 3x
350 = 14x^2 |/14
x^2 = 25 | √
x = 5[cm] = a
H = 15[cm]
v = a^2H
v = 5^2 * 15
v = 375[cm^3]
Odp. Objętość tego graniastosłupa wynosi 375 cm^3.