in a rectangular solid l:b:h=4:3:2.if the total surface area is 1300cm^2 find the dimensions
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10
let the dimensions be 4x, 3x, 2x
A/C to question
TSA=1300
2(lb+bh+lh)=1300
2(4x*3x + 3x*2x + 4x*2x)=1300
2(12x^2+6x^2+8x^2)=1300
2*26x^2=1300
52x^2=1300
x^2=1300/52
x^2=25
so, x=√25=5 cm
Therefore the dimensions are,
4x=4*5=20cm
3x=3*5=15cm
2x=2*5=10cm
Length=20cm
Breadth=15cm
Height=10cm
Hope it helps you :)
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4
here is your answer
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