The whole surface of a rectangular block is 846cm2
Find its dimension if they proportional
to 5:4:3
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Let the dimensions be 5x,4x, and 3x.
Total surface area =2(lb+bh+hl)
=2(5x×4x+4x×3x+3x×5x)cm^2
=94x^2cm^2
Now,
94x^2 =846cm^2 (given)
⇒x^2 =9 or x=3cm
∴ Volume of the block =5x×4x×3x
=60x^3
=1620cm^3
Step-by-step explanation:
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