Respuesta :
V = 2x^3 + 6x^2
x = 12
V = 2(12^3) + 6(12^2)
V = 2(1728) + 6(144)
V = 3456 + 864
V = 4320
x = 12
V = 2(12^3) + 6(12^2)
V = 2(1728) + 6(144)
V = 3456 + 864
V = 4320
The volume of the prism is 4320 cubic units
The expression for the volume is given as:
V = 2x^3 + 6x^2
When x = 12, the expression becomes
V = 2 * 12 ^3 + 6 * 12^2
Evaluate the exponent
V = 2 * 1728 + 6 * 144
Evaluate the products
V = 3456 + 864
Evaluate the sum
V = 4320
Hence, the volume of the prism is 4320 cubic units
Read more about volumes at:
https://brainly.com/question/1972490