Abox without a top is made from a rectangular piece of cardboard, with dimensions 6 ft by 8 ft, by cutting out square corners with side length x. which expression can be used to determine the greatest possible volume of the cardboard box? (8−2x)(6−2x)x (6−x)(8−x)x (8x−6)(6x−8) (8−6x)(6−8x)

The answer is:

The first option:

From the statement, we know the dimensions of the box, and the length of the sides to be cut (x).

So,

Working with the length of the box, we have:

Let be 8 the length of the cardboard for the length of the box, so, if we cut out the side of length "x", we have:

Now,

Working with the width of the box, we have:

Let be 6 the length of the cardboard for the width of the box, so, if we cut out the side of length "x", we have:

Now that we already know the length and the width of the box, we know that the bottom of the box will have the same length "x", so, the greatest possible volume of the cardboard box will be:

Have a nice day!

50- 250 is correct i did that one too

step-by-step explanation:

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights