Question

Find the surface area of the triangular prism help plzzz​

Answer 1

790 m^2

Explanation:

well in the figure we have to areas

• the rectangle of the side (2)
• the triangle (2)
• the rectangle of the base (1)

the rectangle of the side

well the area of the rectangle is base times height

we have a base of 11 and a height of 17

`A_(rs)=11*17\\\\A_(rs)=187`

the triangle

well the area of a triangle is base times height over 2

we have a base of 16 and a height of 15

`A_t = (16\cdot 15)/(2)\\\\A_t= 8\cdot15\\\\A_t=120`

the rectangle of the base

we have a base of 16 and a height of 11

so

`A_(rb) = 16\cdot 11\\\\A_(rb) = 176`

so the total area is

`A_T = 2(A_(rs))+2(A_(t))+1(A_(rb))\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790`

so that's our answer the surface area is 790 m^2