a cubical box has a volume of 128 cubic meters. it's dimensions could be______option are given a)16m by8m by2m b)8m by4m by 4m c)16m by 2m by 2m d)8m by 4m by 2m who give answer first common
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(i) Lateral surface area of cube = 4edge
2
=4(10)
2
=400
lateral surface area of cuboid =2h(l+b)
2×8(12.5+10)
=16×22.5
=360
So, the lateral surface area of the cube is larger by (400−360=40)cm
2
(ii) Total surface area of cube = 6edge
2
=6(10)
2
=600
lateral surface area of cuboid =2(lb+bh+hl)
2(12.5×10+10×8+8×12.5)
=2(125+80+100)
=610
So, the total surface area of cuboid is larger by (610−600=10) cm
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