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 b
y factorisation. State both values of x. and finally find the dimensions of the cubiod.
2 answers:
Answer:
4cm, 11cm, 21cm
Step-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
Answer:
Part 1)
The equation by factorization is

Both values of x are


Part 2) The dimensions of the cuboid are
,
and 
Step-by-step explanation:
step 1
we know that
The volume of the cuboid is equal to

substitute the given values


so

Complete the square




square root both sides


so


therefore
The equation by factorization is

step 2
Find the dimensions of the cuboid
The dimensions are



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The answer is D the last one
(2×3)×2+5×2=22
2×3=6
6×2+5×2
12+5×2
12+10
22
Answer:
its 25
Step-by-step explanation:
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