a cuboid has length of 30cm and breath 25cm . If it's total surface area is double the lateral surface area , then find it's height and volume
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Answer: height=13.63 cm volume=10222.5 cm³
Step-by-step explanation:
TSA=2×LSA
2(lb+bh+lh)=2×{2h(l+b)}
lb+bh+lh=2h(l+b)
let l=30cm b=25cm
750+25h+30h = 2h(30+25)
750 + 55h = 110h
750 = 55h
h=750÷55
h= 13.63cm
volume=lbh
=30×25×13.63
=750×13.63
=10222.5 cm³
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