The volume

The volume of a solid cylinder is 260 cm3 the cylinder is melt down into a cuboid, whose base is a square of 5cm, calculate the height of the cuboid and the surface area of the cuboid

Result

h =  10.4 cm
S =  258 cm2

Solution:

V=260 cm3 a=5 cm S1=a2=52=25 cm2 h=V/S1=260/25=525=10.4 cmV=260 \ \text{cm}^3 \ \\ a=5 \ \text{cm} \ \\ S_{1}=a^2=5^2=25 \ \text{cm}^2 \ \\ h=V/S_{1}=260/25=\dfrac{ 52 }{ 5 }=10.4 \ \text{cm}
S=2 S1+4 a h=2 25+4 5 10.4=258 cm2S=2 \cdot \ S_{1} + 4 \cdot \ a \cdot \ h=2 \cdot \ 25 + 4 \cdot \ 5 \cdot \ 10.4=258 \ \text{cm}^2



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