Question

Use the net as an aid to compute the surface area of the triangular prism. A) 550m^2 B) 614m^2 C) 670m^2 D) 790m^2

Answer 1

Answer:

D

Step-by-step explanation:

The surface area of the triangular prism consist of area of two rectangles 11 m  by 17 m, one rectangle 11 m by 16 m and area of two triangles.

$A_{first \ rectangle}=17\cdot 11=187\ m^2$

$A_{second\ rectangle} =11\cdot 16=176\ m^2$

$A_{triangle}=\dfrac{1}{2}\cdot 16\cdot 15=120 \ m^2$

The surface area is

$SA=2\cdot 187+176+2\cdot 120=790\ m^2$

Answer 2

Answer:

The correct answer is option D.  790 m²

Step-by-step explanation:

Formula:-

Area of triangle = bh/2

Area of rectangle = bh

where b - Base and h - Height

To find the area of prism

Area of prism = Base area  + side rectangle area + side triangle area

 = (16 * 11)  + (2 * 11 * 17) + (2 * 16 * 15 /2)

 = 176 + 374 + 240

 = 790 m²

Therefore the correct answer is option D.  790 m²