contestada

The expression V = 2x3 + 6x2 can be used to find the volume of the trapezoidal prism below. If x = 12 cm, what is the volume of the prism?

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

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

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