+0  
 
0
43
7
avatar+23 

Find the surface area of the composite figure.

 

 May 2, 2020
 #1
avatar+299 
+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!

 May 2, 2020
 #2
avatar+111360 
+1

THX, CentsLord     !!!!

 

 

cool cool cool

CPhill  May 2, 2020
 #3
avatar+23 
+1

It still says the answer isn't correct blush

flxm3s  May 3, 2020
 #5
avatar+299 
+2

That is because I didn't post a full answer on mine, I left the rest up to you :D

CentsLord  May 3, 2020
 #6
avatar+23 
0

well, thank you for the help! :)

flxm3s  May 3, 2020
 #4
avatar+111360 
+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

 

 

cool cool cool

 May 3, 2020
 #7
avatar+23 
+1

thankss! :)

flxm3s  May 3, 2020

20 Online Users

avatar
avatar
avatar