Question

Find the surface area of the figure below.

A. 256
B. 128
C. 408
D. 315

Answer 1

A. 256

Answer 2

how did you get that answer ?

Answer 3

@bhaskarbabu

Answer 4

2(12*5 + 12*4 + 5*4) = 256

Answer 5

How many sides are on that box? Notice that they are all rectangle shapes...

Surface area will be the sum of the areas of all those rectangles.

Answer 6

And there are three different shapes... with two of each (like both ends are identical shapes, etc)... so you have areas of three rectangles, and you can multiply by 2 to get the total.

That's what @bhaskarbabu showed in the previous post...
2 * (area of rectangle 1 + area of rectangle 2 + area of rectangle 3) = 256

Answer 7

@JakeV8 good explanation

Answer 8

oh i see !! thanks both of you !! (:

Answer 9

You can use this idea for any sort of box or prism... don't get all freaked out by formulas... just find the area of each face of the prism, and add them all to get the total surface area.

Like a prism with rectangle sides but a triangle base and top... it's just 3 rectangles along the sides, plus 2 triangles on the top and bottom.