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bekas [8.4K]
1 year ago
6

Find the surface area of the composite figure.

Mathematics
1 answer:
ELEN [110]1 year ago
6 0

Answer:

644cm^2

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to 2\times(30+100+120)-72=428 cm^2.

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's 2\times(24+48)+72=216cm^2.

So the total surface area is 428+216=644cm^2.

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