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Elanso [62]
3 years ago
5

Which is the net of the prism (in the image) and what is the surface area of the prism?

Mathematics
2 answers:
Murrr4er [49]3 years ago
5 0
It is 480 sq. inches!...........
dusya [7]3 years ago
4 0
If you carefully match each shape to it's sides, Net A is the correct one. The key is the 14 and 13 sides. The 14 should be vertical in the net.

Surface area is just the area of each individual shape together.

There are the following shapes and dimensions:
Rectangle: 5 x 14 = 70
Rectangle: 12 x 14 = 168
Rectangle: 13 x 14 = 182
2 Triangles: 1/2 x 5 x 12 = 30 x 2 = 60

70 + 168 + 182 + 60 = 480 square inches.
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Answer:

A = 23.6 units^2

Step-by-step explanation:

Let the base be 8 (as shown).

Find the height of the triangle:   Find the supplement of the 100 degree angle; it is (180 - 100), or 80 degrees.  The side "opposite" this 80-degree angle is the height of the triangle:

   

                               height      

sin 80 degrees = ---------------

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and so the height of the triangle is h = 6 sin 80 degrees, or 5.91 units.

The area of the triangle is found using A = (1/2)(base)(height), which here amounts to:

A = (1/2)(8 units)(5.91 units), or

                                                       A = 23.64 units^2, or A = 23.6 units^2

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3 years ago
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