The surface area of a cuboid is 1372 cmsq. if its dimensions are in the ratio 4:2:1. Find its length and height.
shilpinegi597:
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LET THE LENGTH, BREADTH AND HEIGHT BE 4x:2x:1x RESPECTIVELY
SURFACE AREA OF CUBOID=1372cm²
2(lb+bh+hl) = 1372cm²
2(4x×2x+2x×x+x×4x) = 1372
8x²+2x²+4x² = 1372/2
14x² = 686
x² = 686/14
x² = 49
x = √49
x = 7
THEREFORE, LENGTH = 4x = 4×7 = 28cm
BREADTH = 2x = 2×7 = 14cm
HEIGHT = x = 7cm
SURFACE AREA OF CUBOID=1372cm²
2(lb+bh+hl) = 1372cm²
2(4x×2x+2x×x+x×4x) = 1372
8x²+2x²+4x² = 1372/2
14x² = 686
x² = 686/14
x² = 49
x = √49
x = 7
THEREFORE, LENGTH = 4x = 4×7 = 28cm
BREADTH = 2x = 2×7 = 14cm
HEIGHT = x = 7cm
thankxx
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