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WILL GIVE BRAINLIEST: Find the volume of a rectangular prism if the length is 3x, the width is 5x^2, and the height is 2x^2 + x + 7. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.

WILL GIVE BRAINLIEST Find The Volume Of A Rectangular Prism If The Length Is 3x The Width Is 5x2 And The Height Is 2x2 X 7 Use The Formula V L W H Where L Is Le class=

Sagot :

Answer:

30x^5 + 15x^4 + 105x^3

Step-by-step explanation:

V = l*w*h

l = 3x

w = 5x^2

h = 2x^2 + x + 7

l*w = 3x * 5x^2 = 15x^3 (add exponents when multiplying variables)

l*w = 15x^3

V = l*w*h = 15x^3(2x^2 + x + 7) = 30x^5 + 15x^4 + 105x^3
  • L=3x
  • B=5x^2
  • H=2x^2+x+7[/tex]

[tex]\\ \rm\longmapsto V=LBH[/tex]

[tex]\\ \rm\longmapsto V=3x(5x^2)(2x^2+x+7)[/tex]

[tex]\\ \rm\longmapsto V=15x^3(2x^2+x+7)[/tex]

[tex]\\ \rm\longmapsto V=30x^5+15x^4+105x^3[/tex]

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