The dimensions of cuboid are in ratio 3:2:1 and total surface area is

1.	The dimensions of cuboid are in ratio 3:2:1 and total surface area is 2,8,16 square cm .Find its volume? ( root 128 = 11.31)
Answer» Step-by-step EXPLANATION: let length,BREATH and height of cuboid are 3x,2x and x respectively total surface area =2816 SQUARE CM 2(lb+lh+bh)=2816 2(3x×2x +3x ×x +2x×x)=2816 2(6x^2 +3x^2+2x^2) =2816 2×11x^2 =2816 22x^2=2816 x^2 =2816÷22 x=√128 x=11.31 lenght= 3×11.31=33.91 breath=2×11.31=22.62 height=11.31 volume=lbh= 33.91 ×22.62×11.31 8677.82 CUBE cm

The dimensions of cuboid are in ratio 3:2:1 and total surface area is 2,8,16 square cm .Find its volume? ( root 128 = 11.31)

Answer»

Step-by-step EXPLANATION:

let length,BREATH and height of cuboid are 3x,2x and x respectively

total surface area =2816 SQUARE CM

2(lb+lh+bh)=2816

2(3x×2x +3x ×x +2x×x)=2816

2(6x^2 +3x^2+2x^2) =2816

2×11x^2 =2816

22x^2=2816

x^2 =2816÷22

x=√128

x=11.31

lenght= 3×11.31=33.91

breath=2×11.31=22.62

height=11.31

volume=lbh=

33.91 ×22.62×11.31

8677.82 CUBE cm

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The dimensions of cuboid are in ratio 3:2:1 and total surface area is 2,8,16 square cm .Find its volume? ( root 128 = 11.31)

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