(b)
ur cubes,
(a)
The length, breadth and height of a cuboid are 64 cm, 32 cm and 16 cm respectively. Find
side of a cube whose volume is equal to the volume of the cuboid.
cm respectively Fin
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Explanation:
Given length,breadth height of a cuboid are in ratio 5:4:2.
Total surface area of cuboid is 1216 sq cm.
Let length, breadth and height of cuboid be 5x, 4x and 2x respectively.
So, total surface area of cuboid =2(lb+bh+lb)=2(5x×4x+4x×2x+5x×2x)=2(20x2+8x2+10x2)=2(38x2)=76x2
Total surface area of cuboid =1216cm2
⇒76x2=1216cm2⇒x2=16⇒x=4
Dimensions of cuboid are :
Length =5x=5×4=20 m
Breadth =4x=4×4=16 m
Height =2x=2×4=8 m
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