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What is the surface area of this triangular prism rounded to the nearest tenth?


A) 63.3 cm2

B) 75.6 cm2

C) 85.7 cm2

D) 97.2 cm2

What is the surface area of this triangular prism rounded to the nearest tenth A 633 cm2 B 756 cm2 C 857 cm2 D 972 cm2 class=

Respuesta :

jascash20p5oxxo
The answer is C.
SA = bh + (s1 + s2 + s3)H
SA = (6.8)(5.1) + (6.8 + 5.1 + 8.5)(2.5) = 85.68

Answer:

The correct option is C.

[tex]\text{The surface area is=}85.7cm^2[/tex]

Step-by-step explanation:

Given the right triangular prism.

we have to find the surface area of given right triangular prism.

As triangular prism is formed with two right triangles and 3 rectangles with different length and breadth.

∴ [tex]\text{Surface area =}2(\frac{1}{2})base\times height + (s_1 + s_2 + s_3)H[/tex]

                                        [tex]=(6.8)(5.1)+(6.8+ 5.1+8.5)(2.5)[/tex]

                                        [tex]=85.68\sim85.7cm^2[/tex]

Hence, correct option is C.

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