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.
At Store A is the cost of apples the least. This is because it always has the lowest price for each pound compared to the other lines. Hope this helps!
Answer:
D. 30 kilometers
Step-by-step explanation:
Add all the given distances relative to the map together:
6.5 + 9.5 + 4 = 20
Multiply that by the scale to convert centimeters to kilometers:
20 x 1.5 = <u>30</u>
Your answer is 30 kilometers.
You also could have gotten the same answer by multiplying each number by the scale and then adding those together but that is slightly more work so the way I showed is more convenient.
Answer:(-1, 5)
Step-by-step explanation:
Add X1 + X2 then divide by 2. Add Y1 + Y2 then divide by 2.