The base of the prism is a rectangle. Diagonal = 13 dm, height 12 dm, and one of the base ribs is 4 cm.

The base of the prism is a rectangle. Diagonal = 13 dm, height 12 dm, and one of the base ribs is 4 cm. Find the total surface area of this prism.

base diagonal = AC
diagonal of the prism = AC ‘= 130 cm
height = AA ‘= 120 cm
base edge = AB = 4 cm
1) find AC
AC = 130²-120² = 50 (cm)
2) find the second edge of the base CB
CB = 50²-4² = 6 √ (69) cm
3) find
base perimeter = 8 + 12√ (69) cm
4) we find the surface area of the prism = 120 × (8 + 12√ (69)) = 960 + 1440√ (69) ≈12921.5 (cm²)
Answer: the area of the full surface of the prism = 960 + 1440√ (69) cm²≈12921.5 cm².