The sum of length ,breadth nd height of a cuboid is 19cm.And the length of its diagonal is 11cm.Find surface area
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Answer:
240 cm^2
Step-by-step explanation:
L + B + H = 19 cm - eq1
L^2 + B^2 + H^2 = 11^2
L^2 + B^2 + H^2 = 121 cm^2 eq2
Squaring eq1
(L + B+H)^2 = 19^2 cm^2
(L+B)^2 + H^2 + 2(L+B)H = 361
L^2 + B^2 + 2LB + H^2 + 2LH + 2BH = 361
L^2 + B^2 + H^2 + 2LB + 2LH + 2BH = 361
Putting value from eq2
121 + 2(LB + LH + BH) = 361
2(LB + LH + BH) = 240 eq 3
Surface area of cuboid = 2(LB + LH + BH)
From eq 3
2(LB + LH + BH) = 240 cm^2
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