Write a polynomial in standard form to represent the volume of the box. Show all your work. height : x width : 2x^4 length : 5x^3

Verified Answer :

V=LWH

V=(5x^3)(2x^4)(x)
remmeber
(x^m)(x^n)=x^(m+n)

V=(5)(x^3)(2)(x^4)(x^1)
V=10x^8

fichoh

Using the formula for the volume of a box, the representation in standard form for the box's volume wold be \(10x^{8}\)

Recall the formula for the volume of a box :

  • Volume = Length × width × height
  • Height = x
  • Width = 2x^4
  • Length = 5x³

Using the formula :

Volume of box = \(x * 2x^{4} * 5x^{3} = 10x^{8}\)

Hence, the volume of the box would be \(10x^{8}\)

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