Question

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

Answer 1

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.