Question

Find the surface area of the triangular prism help plzzz​

Answer 1

Answer:

790 m^2

Step-by-step 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

$A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120$

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