Answer:
Dimensions = 4cm, 11cm and 21cm
OR
Dimensions = 4cm, -21cm and -11cm
Step-by-step explanation:
Solving the quadratic equation by using the factorization method;
x² + 12x - 220 = 0
Factors = 22 and -10
x² + 22x - 10x - 220 = 0
x(x + 22) - 10(x + 220) = 0
(x - 10)(x + 22) = 0
Therefore, x = 10 or x = -22
Given the following data;
Length of one side = (x + 1)cm
When x = 10
Length of one side = (10 + 1)cm
Length of one side = 11cm.
When x = -22
Length of one side = (-22 + 1)cm
Length of one side = -21cm
Length of the other side = (x + 11)cm
When x = 10
Length of the other side = (10 + 11)cm
Length of the other side = 21cm
When x = -22
Length of the other side = (-22 + 11)cm
Length of the other side = -11cm
Check;
Volume of a cuboid = L*L*L
Volume of a cuboid = 4 * 11 * 21
Volume of a cuboid = 924cm³
