The dimensions of a cuboid are in ratio 1:2:3 and its total surface area is 352m2
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The dimensions of a cuboid are in ratio 1:2:3 and its total surface area is 352m2
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let ratio constant be x
1x 2x 3x
atq
2(lb+bh+lh)=tsa
2(1x×2x+2x×3x+1x×3x)=352
2(2x^2+6x^2+3x^2)=352
2(11x^2)=352
22x^2=352
x^2=352/22
x^2=16
x=√16
x=4
1x=4
2x=8
3x=12
hope it helps
Answer:
let l=x b=2x h=3x
Step-by-step explanation:
total surface area =2(lb+bh+hl)
352=2(x*2x +2x*3x +3x*x)
352=2(2x^2+6x^2 +3x^2)
352=2(11x^2)
176=11x^2
176/11=x^2
16=x^2
taking square root
x=4
dimensions are
l=4cm b=8 cm h=12cm
what to find is not given