230-30=200cm is a cake box? 4* height +2* length +2* width,? 4* height +2* box diameter =200cm
2(2* height+box diameter) =200cm
? 2* height+box diameter = 100cm
? Because the height is 20cm, 2*20+ box diameter = 100cm.
? 40+ box diameter = 100cm
Box diameter =60cm.
So the radius of the box is 60/2=30cm.
So the two circular areas of the cake box are 2πr? =2*π*30*30= 1800π? (cm? )
The side area of the cake box is the bottom perimeter * height = 2π r * h = 2 * π * 30 * 20 =1200π (cm? )
So the cake box needs1800π+1200π = 3000π (cm? )
None of the above.
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Actually, I think there is something wrong with your topic. It's a little unclear. First, there are both cylindrical and rectangular cake boxes, so there are two solutions to this problem; Second? Because I don't know what age you are studying now, every grade will have different answers, so I will help you answer them in detail, for fear that this is not your knowledge! ~
Scheme 1: cylindrical cake box with round bottom.
Ribbon 2.3m = 230cm
230-30=200cm is a cake box? 4* height +2* box diameter. 4* height +2* box diameter =200cm
2(2* height+box diameter) =200cm
? 2* height+box diameter = 100cm
? Because the height is 20cm, 2*20+ box diameter = 100cm.
? 40+ box diameter = 100cm
Box diameter =60cm.
So the radius of the box is 60/2=30cm.
So the two circular areas of the cake box are 2πr? =2*π*30*30= 1800π? (cm? )
The side area of the cake box is the bottom perimeter * height = 2π r * h = 2 * π * 30 * 20 =1200π (cm? )
So the cake box needs1800π+1200π = 3000π (cm? )
Scheme 2: The floor is a rectangular cake box.
Ribbon 2.3m = 230cm
230-30=200cm is a cake box? 4* height +2* length +2* width,? 4* height +2* length +2* width =200cm
? 2(2* height+length+width) = 200 cm
? 2* height+length+width = 100cm
? Because the height is 20cm, 2*20+ length+width = 100cm.
? 40+ length+width = 100cm
Length+width = 60 cm
This involves deeper knowledge, dear. What grade are you in?