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vaieri [72.5K]
3 years ago
5

The expression V = 2x3 + 6x2 can be used to find the volume of the trapezoidal prism below.

Mathematics
2 answers:
alekssr [168]3 years ago
8 0

Answer:

4320

Step-by-step explanation:

V = 2x^3 + 6x^2

x = 12

V = 2(12^3) + 6(12^2)

V = 2(1728) + 6(144)

V = 3456 + 864

V = 4320

ivolga24 [154]3 years ago
5 0

Answer:

  • 4320 cm³

Step-by-step explanation:

<u>Volume formula for prism:</u>

  • V = Ah, where A- area of bas, h- height of base

<u>Area of base:</u>

  • A = 1/2(b1 + b2)h = 1/2(x + 2 + x + 4)x = 1/2(2x + 6)x = x(x+3)

<u>Volume of prism is:</u>

  • V = 2x*x(x + 3) = 2x³ + 6x²

<u>If x = 12, then the value of V is:</u>

  • V = 2*12³ + 6*12² = 4320 cm³
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