Question

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

Answer 1

The surface area is 870 cm².

Since the base is a regular quadrilateral, each side is the same; dividing the perimeter by 4 will give us the side length:

60/4 = 15

To find the area, we square the side length:
15² = 225

There are two bases, so the area of these is 2(225) = 450

There are 4 lateral faces, so the lateral area is 4(105) = 420

Together, this gives us a total surface area of 870.