The dimensions of a cuboid are in the ratio of 4:2:3 and its total surface area is 832 sq.m find its dimensions
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hello friend
here is your answer
let be the ratio be x
then , length =4x
breadth=2x
height=3x
TSA = 2(lb+bh+hl)
TSA= 2(4x×2x+2x×3x+3x×4x)
832= 2(8x^2+6x^2+12x^2)
832= 2(26x^2)
832= 52x^2
832/52= x^2
16=x^2
√16=x
4m=x
length= 4x= 4×4= 16 m
breadth= 2x= 2×4=8m
height = 3x = 3×4 12
hope it would help
thanks dear
here is your answer
let be the ratio be x
then , length =4x
breadth=2x
height=3x
TSA = 2(lb+bh+hl)
TSA= 2(4x×2x+2x×3x+3x×4x)
832= 2(8x^2+6x^2+12x^2)
832= 2(26x^2)
832= 52x^2
832/52= x^2
16=x^2
√16=x
4m=x
length= 4x= 4×4= 16 m
breadth= 2x= 2×4=8m
height = 3x = 3×4 12
hope it would help
thanks dear
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