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Black_prince [1.1K]
3 years ago
6

Q # 11. please help to resolve

Mathematics
1 answer:
snow_lady [41]3 years ago
7 0
We know the following statements regarding the box:

<em>1. The box is rectangular</em>
<em>2. It's twice as long as it is wide</em>
<em>3. The height of the box is 3 feet less than the width </em>
<em>4. x: feet wide</em>

So we can apply a mathematical language to solve this problem. The volume of a rectangular box can be find by:

V=W\times L\times H \\ \\ where \\ \\ W:Width \\ L:Length \\ H:Height

But we also know that:

W=x

And the box is twice as long as it is wide:

L=2x

The height of the box is 3 feet less than the width is given by:

H=x-3

So combining these results:

V=x(2x)(x-3) \\ \therefore V=2x^2(x-3) \\ \therefore \boxed{V=2x^3-6x^2}

<em>The right answer is B</em>
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