Answer:
The answer to your question is:
Explanation:
Data
V = 924 cm³
dimensions = 4cm, (x + 1) cm, (x + 11) cm
Factorize x² + 12x - 220 = 0
Find the prime factors of 220
220 2
110 2
55 5
11 11
1
Find two numbers that added give +12, these numbers are + 22 and -10
x² + 12x - 220 = ( x + 22) ( x - 10)
x 1 = -22 x2 = 10
The result -22 could not be a solution because lenght is not negative. Then x = 10
= 4 ( 10 +1) ( 10 + 11)
= 4 ( 11 ) ( 21)
= 924 cm³