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vovangra [49]
3 years ago
6

Ho do you get the Surface Area of this shape?

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0
This solid object contains 8 sides.

The side that is facing you has a surface area:

64f{ t }^{ 2 }+84f{ t }^{ 2 }=148f{ t }^{ 2 }

The side exactly opposite this one has the same surface area - 2 sides with this surface area in total.

The bottom side has a surface area:

84f{ t }^{ 2 }

The side to your right has a surface area:

84f{ t }^{ 2 }

The side to your left has a surface area:

48f{ t }^{ 2 }

The side to your top left has a surface area:

48f{ t }^{ 2 }

The side beside the side to the top left has a surface area:

36f{ t }^{ 2 }

The side at the very top has a surface area:

36f{ t }^{ 2 }

Combined, the surface area is:

S=2\cdot 148f{ t }^{ 2 }+2\cdot 84f{ t }^{ 2 }+2\cdot 48f{ t }^{ 2 }+2\cdot 36f{ t }^{ 2 }

\\ \\ =296f{ t }^{ 2 }+168f{ t }^{ 2 }+96f{ t }^{ 2 }+72f{ t }^{ 2 }\\ \\ =632f{ t }^{ 2 }

Therefore the answer is: C
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