Question

Find the surface area of the figure, Please hurry and give an accurate answer

Answer 1

Given:

The base of the triangle = 5 mm

The other side of the of the triangle = 9 mm

The 3rd side of the triangle = 9 mm

The height of the triangle = 7 mm

The height of the prism = 12 mm

To find the surface area of the the prism.

Formula:

The surface area of a triangular prism is

`SA = bh+(s_(1) +s_(2) +s_(3))H`

Where,

h be the height of the triangle

H be the side of the prism

b be the base of the triangle

`s_(1) ,s_(2) ,s_(3)` are the sides of the triangle.

Now,

Putting, b=5, H= 12, h=7,
`s_(1) =5,s_(2) =9,s_(3) =9` we get,

`SA = (5)(7)+(5+9+9)(12)`

or,
`SA = 35+276`

or,
`SA = 311` sq mm

Hence,

The surface area of the triangular prism is 311 sq mm.