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yanalaym [24]
3 years ago
9

A rectangular box is twice as long as it is wide. The height of the box is 3 feet less than the width. If the box is x feet wide

, what polynomial represents its volume in cubic feet?
A)4x-3
B)2x^3+6^2
C)2x^2-6x
D)2x^3-6x^2
Mathematics
2 answers:
Xelga [282]3 years ago
8 0
In order to get the volume of a rectangular box, the formula would be V = LxWxH.
So given that Length L = 2w
H = 3-w
W = x
Let x be the width, so it will look like this.
V = (2x)(x-3)(x)
Multiply these and we will get 2x^3-6x^2.
Therefore, the answer would be option D. Hope this answer helps. Let me know if you need more help next time.
maw [93]3 years ago
8 0

Answer:

V=2x^3-6x^2

D is the correct option.

Step-by-step explanation:

The width of the box is x feet.

Height of the box is 3 feet less than the width.

Hence, height = x - 3

Now, box is twice as long as it is wide.

Length = 2x

Volume of the box is given by

Volume = length × width × height

Substituting the known values,

V = 2x(x)(x-3)

On simplifying, we get

V=2x^2(x-3)\\V=2x^3-6x^2

Hence, D is the correct option.

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