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Umnica [9.8K]
3 years ago
12

Find the surface area of the triangular prism. 15.6 cm 10 cm 11 cm 12 cm

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0

Answer:

533.6cm²

Step-by-step explanation:

Hello!

I'm here to answer your question!

<u>Area of each triangular base:</u>

\frac{1}{2}(12)(10)=60

<u />

<u>Area of the rectangular faces:</u>

12\times 11 =132

15.6\times 11=171.6

10\times 11=110

<u>Add to find the surface area:</u>

60+60+132+171.6+110=533.6

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

Hope this helps you!

Hugs from,

Josh

Anna11 [10]3 years ago
6 0

Answer:

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

Step-by-step 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(\dfrac{1}{2} \times Base \times Height)

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

Area of the two triangular faces is:

              =2(\dfrac{1}{2} \times 12 \times 10)\\\\=2(\dfrac{1}{2} \times 120 )\\\\=120\,cm^2

Area of the rectangle= Length\times Width

Area of the Rectangular face with :

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

                Area is:  

                             =11\times 12\\\\=132\,cm^2

Area of the rectangular face with:

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

         Area is:

                            =15.6\times 11\\=171.6\,cm^2

For,

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

              Area is:

                             =11\times 10\\=110\,cm^2

Total Surface area of the figure is:

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

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