Question

Find the surface area of the triangular prism.

15.6 cm
10 cm
11 cm
12 cm

Answer 1

533.6cm²

Explanation:

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Area of each triangular base:

`(1)/(2)(12)(10)=60`

Area of the rectangular faces:

`12* 11 =132`

`15.6* 11=171.6`

`10* 11=110`

Add to find the surface area:

`60+60+132+171.6+110=533.6`

Thus, the surface area of the triangular prism is = 533.6 yd²

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Answer 2

Total Surface area of the figure =
`533.6\,cm^2`

Explanation:

The figure consists of three rectangular faces and two triangular faces :

Area of the figure = Area of the two triangular faces + Area of the three rectangular faces

Area of the two triangular faces:

`2((1)/(2) * Base * Height)`

`Base= 12\, cm\\Height=10\,cm`

Area of the two triangular faces is:

`=2((1)/(2) * 12 * 10)\\\\=2((1)/(2) * 120 )\\\\=120\,cm^2`

Area of the rectangle=
`Length* Width`

Area of the Rectangular face with :

`Length= 11\,cm\\Width=12\,cm`

Area is:

`=11* 12\\\\=132\,cm^2`

Area of the rectangular face with:

`Length=15.6\,cm\\Width=11\,cm`

Area is:

`=15.6* 11\\=171.6\,cm^2`

For,

`Length=11\,cm\\Width=10\,cm`

Area is:

`=11* 10\\=110\,cm^2`

Total Surface area of the figure is:

`=120+132+171.6+110\\=533.6\,cm^2`