Which expression can be used to find the surface area of the following triangular prism? Triangular prism 3 3 4 4 5 5 11 11 Choose 1 answer: A) 12+55 B) 6+6+33+44+55. C) 6+6+55+55+55. D) 12+12+33+44+55

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Mathematics

4 January, 00:38

Which expression can be used to find the surface area of the following triangular prism? Triangular prism 3 3 4 4 5 5 11 11 Choose 1 answer: A) 12+55 B) 6+6+33+44+55. C) 6+6+55+55+55. D) 12+12+33+44+55

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Bethany Stark · Answer 1

B) 6+6+33+44+55

Step-by-step explanation:

We assume your prism has bases that are 3-4-5 triangles, and that it is of length 11. The the surface area is the sum of the areas of the bases and the areas of each of the rectangular sides.

base area = (1/2) (3) (4) = 6

face area = (3) (11) + (4) (11) + (5) (11) = 33 + 44 + 55

Surface area = base area + base area + face area

Surface area = 6 + 6 + 33 + 44 + 55