Minimum surface

Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area, into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm respectively, can be packed.

Correct answer:

x =  12 cm
y =  10 cm
z =  10 cm

Step-by-step explanation:

n=50 a=4 cm b=3 cm c=2 cm  V=n a b c=50 4 3 2=1200 cm3 1200=2×2×2×2×3×5×5=24×3×52  S=2 (xy+yz+xz)min  x1=3V=3120010.6266 cm  x=2 2 3=12 cm
y=5 2=10 cm
z=V/(x y)=1200/(12 10)=10 cm



Did you find an error or inaccuracy? Feel free to write us. Thank you!










Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.

Related math problems and questions: