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

The correct answer is option D. 790 m²

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

Answer 2

D

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)=(1)/(2)\cdot 16\cdot 15=120 \ m^2`

The surface area is

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