Question

What is the surface area of this wedge?

Answer 1

84ft.................................

Answer 2

The correct option is 1.

Explanation:

The wedge contain 3 different rectangles and 2 congruent triangles.

Area of a triangle is

`A=(1)/(2)* base* height`

From the given figure it is clear that base of the both triangles is 4 ft and height is 3 ft.

Area of a triangle is

`A_1=(1)/(2)* 4* 3=6`

Area of a rectangle is

`A=length* width`

Length and width of the first rectangle are 6 ft and 3 ft respectively. So, the area first rectangle is

`A_2=6* 3=18`

Length and width of the second rectangle are 6 ft and 4 ft respectively. So, the area second rectangle is

`A_3=6* 4=24`

Length and width of the third rectangle are 6 ft and 5ft respectively. So, the area third rectangle is

`A_4=6* 5=30`

The total area of this wedge is

`A=2(A_1)+A_2+A_3+A_4`

`A=2(6)+18+24+30`

`A=84`

The area of wedge is 84 square ft.

Therefore, option 1 is correct.