We know that the formula for the volume of a box is:
![V =lwh](https://tex.z-dn.net/?f=V%20%3Dlwh)
Where:
l = length
w = width
h = height
The formula of the surface area of a box is:
![SA=2(lw+lh+wh)](https://tex.z-dn.net/?f=SA%3D2%28lw%2Blh%2Bwh%29)
Based on the given we know the following:
![546cm^{3} =lwh](https://tex.z-dn.net/?f=546cm%5E%7B3%7D%20%3Dlwh)
and
![422cm^{2}=2(lw+lh+wh)](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%28lw%2Blh%2Bwh%29)
If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:
![546=6*7*13](https://tex.z-dn.net/?f=546%3D6%2A7%2A13%20)
Let:
l = 6cm
w = 7cm
h = 13cm
Now let's try this on the surface area formula:
![422cm^{2}=2(lw+lh+wh)](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%28lw%2Blh%2Bwh%29)
![422cm^{2}=2((6cm*7cm)+(6cm*13cm)+(7cm*13cm))](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%28%286cm%2A7cm%29%2B%286cm%2A13cm%29%2B%287cm%2A13cm%29%29)
![422cm^{2}=2(42cm^{2}+79cm^{2}+91cm^{2})](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%2842cm%5E%7B2%7D%2B79cm%5E%7B2%7D%2B91cm%5E%7B2%7D%29)
![422cm^{2}=2(211cm^{2})](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D2%28211cm%5E%7B2%7D%29)
![422cm^{2}=422cm^{2}](https://tex.z-dn.net/?f=422cm%5E%7B2%7D%3D422cm%5E%7B2%7D)
The answer is then:
l = 6cmw = 7cmh = 13cmAny order would be fine.
Answer:
o lines
Step-by-step explanation:
Answer:
you only got 1 wrong on each 1 good job
Step-by-step explanation:
will u make this brainliest
Answer:
Angle GHF ~ KHJ
Angle GFH ~ KJH
Angle FGH ~ JKH
Where side:
FH ~ JH
FG ~ JK
GH ~ KH
Step-by-step explanation: