Answer:
![Total = 166cm^2](https://tex.z-dn.net/?f=Total%20%3D%20166cm%5E2)
Step-by-step explanation:
Given
See attachment
Required
Determine the surface area
The figure is made up of two cuboids and the surface area of a cuboid is:
![Area = 2LB + 2LH + 2BH](https://tex.z-dn.net/?f=Area%20%3D%202LB%20%2B%202LH%20%2B%202BH)
Because the bottom part of the upper piece is not visible, the area is calculated as:
![Area = 2LB + 2LH + BH](https://tex.z-dn.net/?f=Area%20%3D%202LB%20%2B%202LH%20%2B%20BH)
This gives:
![Area = 2 * 5*4 + 2 * 4 * 2 + 5 * 2](https://tex.z-dn.net/?f=Area%20%3D%202%20%2A%205%2A4%20%2B%202%20%2A%204%20%2A%202%20%2B%205%20%2A%202)
![Area = 66](https://tex.z-dn.net/?f=Area%20%3D%2066)
For the bottom piece:
We calculate its area as
. However, the area of the invisible part will be subtracted.
So, we have:
![Area = 2*3*5 + 2*3*5 + 2*5*5 - 2*5](https://tex.z-dn.net/?f=Area%20%3D%202%2A3%2A5%20%2B%202%2A3%2A5%20%2B%202%2A5%2A5%20-%202%2A5)
![Area = 100](https://tex.z-dn.net/?f=Area%20%3D%20100)
The total surface area is:
![Total = 66 + 100](https://tex.z-dn.net/?f=Total%20%3D%2066%20%2B%20100)
![Total = 166cm^2](https://tex.z-dn.net/?f=Total%20%3D%20166cm%5E2)
Answer: =1
Step-by-step explanation:
![\left(11-6\right)^2+6\cdot \:2-\left(3+3\right)^2](https://tex.z-dn.net/?f=%5Cleft%2811-6%5Cright%29%5E2%2B6%5Ccdot%20%5C%3A2-%5Cleft%283%2B3%5Cright%29%5E2)
![=5^2+6\cdot \:2-\left(3+3\right)^2](https://tex.z-dn.net/?f=%3D5%5E2%2B6%5Ccdot%20%5C%3A2-%5Cleft%283%2B3%5Cright%29%5E2)
![=5^2+6\cdot \:2-6^2](https://tex.z-dn.net/?f=%3D5%5E2%2B6%5Ccdot%20%5C%3A2-6%5E2)
![=25+6\cdot \:2-6^2](https://tex.z-dn.net/?f=%3D25%2B6%5Ccdot%20%5C%3A2-6%5E2)
![=25+6\cdot \:2-36](https://tex.z-dn.net/?f=%3D25%2B6%5Ccdot%20%5C%3A2-36)
![=25+12-36](https://tex.z-dn.net/?f=%3D25%2B12-36)
![=1](https://tex.z-dn.net/?f=%3D1)
Volume formula is WxHxL so 3/2 times 4 times 1/2 is 3, the answer is 3 cm^3
Answer:
the answer will be B (x,y) --> (x,-y)