#1**+3 **

First, let's find the surface area of the thicc green rectangular prism.

One side is \(4 \cdot 10 = 40 \text{ cm}^2\), and since there's 2, that makes \(80\text{ cm}^2\).

Another side is \(4 \cdot 5 = 20 \text{ cm}^2\), and again multiplied by 2 is \(40 \text{ cm}^2\).

The final side is \(10 \cdot 5 = 50 \text{ cm}^2\), and 2x that is \(100 \text{ cm}^2\).

Let's add those all up, and we get \(80+40+100 = 220 \text{ cm}^2\) :D

But of course, this doesn't include the area that has been sealed off by the pink long rectangle. That area is \(2 \cdot 2 = 4 \text{ cm}^2\), so the total surface area of the green rectangular prism is \(220 - 4 = 216 \text{ cm}^2\) :D

Now for the pink long rectangle.

One side is \(6 \cdot 2 = 12 \text{ cm}^2\), and there are actually 4 of those, which makes \(12 \cdot 4 = 48 \text{ cm}^2\) :D

Now solve the rest!

CentsLord May 2, 2020

#4**+2 **

The easiest way to do this is to find the surface area of each figure and subtract twice the area where the figures touch = 2 (2x 2) = 8cm^2

Surface area of top figure = 4 (6 *2) + 2 (2*2) = 56 cm^2

Surface area of bottom figure = 2 (10*4 + 10*5 + 4*5) = 2 [ 40 + 50 + 20) = 220cm^2

So.....the surface area is

220 + 56 - 8 =

268 cm^2

CPhill May 3, 2020