Can someone please help answer. it’s due tomorrow

Mathematics

1 answer:

NeX [460]3 years ago

3 0

Not sure if my picture answer make sense so, when you have a^2 and b^2 to find c^2 u add then and then square root it to get c. e.g 81^2 + 108^2 = 18225 then u square root it and get 135. when u are given the hypotenuse (which is always c^2) u take that away from the a^2/b^2 and square root. e.g 8^2-4^2 which is 48 which can’t be square rooted so just leave as root48

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Find the surface area of the composite figure.

ELEN [110]

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 $2\times(24+48)+72=216cm^2$ .