The altitude of the regular quadrilateral prism is h=13 cm and lateral area is AL = 624 cm2. Find: 1) The Surface Area of the prism; 2) The Volume of the prism.

1. The Surface Area is equal to

cm2

2. The Volume is equal to

cm3

Lateral area: AL = 4 * s * h

624 = 4 * s * 13

624 = 52 s

s = 624 : 52

s = 12 cm

The surface area of the prism:

A = 2 ·12² + 624

A = 2 · 144 + 624 = 288 + 624 = 912 cm²

The volume:

V = a² · h = 12² · 13 = 144 · 13 = 1,872 cm³

Answer:

1. The surface area is equal to 912 cm².

2. The volume is equal to 1,872 cm³.