How to find surface area of a right triangular prism to the nearest whole number?

Base:10m Height:6m Length:16m Hypotenuse:11.6 m

Answers: A) 502m^2 B) 251m^2 C) 222m^2 D443m^2

The area of the two triangular bases is

(total base area) = 2 * (1/2) bh

= bh

= (10 m) (6 m) = 10·6 m² = 60 m²

The area of the three rectangles making up the remaining faces of the prism is

(total lateral area) = length*base + length*height + length*hypotenuse

= length * (base + height + hypotenuse)

= (16 m) (10 m + 6 m + 11.6 m)

= (16 m) (27.6 m) = 16·27.6 m² = 441.6 m²

Then the surface area of the prism is the sum of these

surface area = total base area + total lateral area

= 60 m² + 441.6² = 501.6 m²

When rounded to the nearest whole number, this is

A) 502 m²