Question

Ho do you get the Surface Area of this shape?

Answer 1

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