The surface area of a cube with a volume of 512 mm3 is: 384 square mm
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1mm cube has volume of 1mm3 and a surface area of 6*(1*1) = 6mm²2mm cube has a volume of 8mm3 and a surface area of 6(2*2)=24mm²Ratio for 1mm cube is 6-1 and ratio for 2mm cube is 3-1 ■
a cube with a volume of 2744 mm3 is 14 mm long, and so has a surface area of: 6*142 = 1176 mm2
384 mm2
The answer to your question is below along with a general formula so you can see where the answer comes from.The formula for the volume of a cube with side length L is L3The formula for the surface area comes from finding the area of one side of the cube and multiplying that by 6 since there are 6 sides. The area of one side is L2 sothe surface area is 6L2 .Now if we want ratio of surface area to volume for any cube, it would be 6L2 /L3This simplifies to 6/LSo in the case of a cube with side length 3 mm it is 6/3 or 2.Method 2 would be to find the surface area and volume for your cube only and then divide.The volume is 33 and the surface area is 6(32 ) so the ratio of surface area to volume is6(32 )/33 =2
A cube's volume is denoted by side length cubed. This side length is 5 mm, so: V = 5*5*5 V = 5^3 V = 125 cubic mm The surface area of a cube is denoted by 6(s^2) Where s is the side length. SA = 6(5^2) SA = 6(25) SA = 150 sq. mm The ratio of surface area to volume is 150:125 = 6:5