The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of a lateral face is 105 cm2. Find: the volume of the prism

Since the base is a regular quadrilateral, each of its 4 sides must have length

s = P/4

s = (60 cm) / 4 = 15 cm

The area of one lateral face is the product of side length and height.

A = s*h

105 cm² = (15 cm) * h

Then the height of the prism is

h = (105 cm²) / (15 cm) = 7 cm

The area of the base is then

B = s²

B = (15 cm) ² = 225 cm²

The volume of the prism is the product of its base area and height.

V = Bh

V = (225 cm²) * (7 cm) = 1575 cm³

The volume is 1575 cm³.