A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cmwide and 8 cm high.(i) Which box has the greater lateral surface area and by how much?(ii) Which box has the smaller total surface area and by how much?

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm

1.	A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cmwide and 8 cm high.(i) Which box has the greater lateral surface area and by how much?(ii) Which box has the smaller total surface area and by how much?
Answer» 1) TSA of cube=`4a^2=4*10^2=400cm^2` TSA of Cuboid=`2(l+b)h=2(12+10)8=352cm^2` difference=400-352=48`cm^2` 2)TSA of cube=`6a^2=6(10)^2=600m^2` TSA of cuboid=`2(lb+bh+hl)=352+2(120)=592m^2` difference=600-592=8`cm^2`.

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A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cmwide and 8 cm high.(i) Which box has the greater lateral surface area and by how much?(ii) Which box has the smaller total surface area and by how much?

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