The value of x from the given question is 14
The formula for calculating the volume of solid is expressed as:
V = lwh
where:
V = x(5x-1)(2x+3)
29,946 = (5x^2 -x)(2x+3)
29,946 = 10x^3 + 15x^2 - 2x^2 - 3x
29,946 = 10x^3 + 15x^2 - 2x^2 - 3x
10x^3 + 15x^2 - 2x^2 - 3x = 29,946
10x^3 + 13x^2 - 3x - 29,946 = 0
Factorize the result for x
On factorizing, the value of x is 14
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