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zlopas [31]
2 years ago
15

A box without a top is made from a rectangular piece of cardboard, with dimensions 4 m by 2 m, by cutting out square corners wit

h side length x.
Which expression can be used to determine the greatest possible volume of the cardboard box?
(x−4)(x−2)x

(x−4)(x−2)x

(4−2x)(2−2x)x

(4x−2)(2x−4)

Mathematics
1 answer:
Ede4ka [16]2 years ago
6 0

Answer:

The expression that can be used to find the volume of the cardboard box is:

(4−2x)(2−2x)x

Step-by-step explanation:

A box without a top is made from a rectangular piece of cardboard, with dimensions 4 m by 2 m, by cutting out square corners with side length x.

i.e. the box is in the shape of a cuboid.

Now the volume of a box is same as the volume of a cuboid.

We know that the volume of a cuboid is given as:

Volume of cuboid=Length×Breadth×Height.

So, the length of the cuboid box is: 4-2x

and the width of the box is: 2-2x

Also, the height of box is: x

Hence, the volume of cuboid is:

Volume=(4-2x)\times (2-2x)\times x\\\\Volume=(4-2x)(2-2x)x

Hence, the expression for the volume of cuboid box is:

             (4−2x)(2−2x)x

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Answer: segment KH

Explanation:

The altitude of a triangle is defined as a segment connecting one of the vertex of the triangle with the opposite side of the triangle (or with an external prolongation of it), forming a right angle with it.

Note that the altitude of a triangle can also be outside the area of the triangle.

If we look at the picture, we see that:

- IH is a side, so it is not an altitude of the triangle

- KH is an altitude of the triangle, since it connects the vertex H with the external prolongation of IG, and it makes a right angle with it

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So, the correct answer is segment KH.

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The length of the top of a computer desk is 2 1/4 feet longer than it’s width. If it’s width measures y feet, express its length
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Answer:

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