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A cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12...
4 months ago
Q:
a cuboid with a volume of 924 cm3 has dimensions 4cm (x+1)cm and (x+11)cm. show clearly that x^2 +12x-220=0. show the equation by factorisation. State both values of x. and finally find the dimensions of the cubiod.
Accepted Solution
A:
Answer:4cm, 11cm, 21cmStep-by-step explanation:4(x + 1)(x + 11) 4(x ^ 2 + 12x + 44) x ^ 2 + 12x + 11 = 231 x ^ 2 + 12x + 11 - 231 = 0 x ^ 2 + 12x - 220 = 0 (x - 10)(x + 22) = 0 x = 10 and x = - 22 4cm , 11cm , 21cm