The volume of the rectangular parallelepiped is 3366 cm3 and the height is 33 cm, find the area of its base.

The volume of a rectangular parallelepiped is calculated by the formula: V = h * S, where h is the height of the parallelogram, S is the area of the parallelogram base. Since we know that h = 33 cm, and V = 3 366 cm3, we substitute it into the formula and calculate the volume of the base:

V = h * S

3 366 cm3 = 33 cm * S;

Divide the left and right sides of the equation by 33 cm:

3 366 cm3: 33 cm = 33 cm * S: 33 cm;

(3 366: 33) cm3: cm = (33 cm: 33 cm) * S;

102 cm2 = 1 * S;

S = 102 cm2 area of the parallelogram base;

Answer: 102 cm2.