Question

The triangular shaped bases of a prism are 14 cm in length and have a height of 24 cm. Each side is 25 cm. The height of the prism is 29 cm. What is the surface area of the triangular prism?

a. 1,876 cm^2
b. 2,192 cm^2
c. 2,500 cm^2
d. 3,120 cm^2

Answer 1

b. 2,192 cm^2

Explanation:

The total area of the two triangular bases is ...

2 × (1/2)(b)(h) = b·h = (14 cm)(24 cm) = 336 cm^2

The lateral area is the height multiplied by the perimeter of the base:

(29 cm)((25 + 25 + 14) cm) = 1856 cm^2

So, the total surface area is the base area plus the lateral area:

total area = 336 cm^2 + 1856 cm^2 = 2192 cm^2 . . . . . matches B