Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is 10 cm by 10 cm. The volume V(x) in cubic cm of the open top box is a function of the side length x in cm of the square cutouts

Some recent institution question and answer inquired students to mention what they believe is the most important important point for a student to do if they wanted to score success. One that response stood out from the rest was practice. Persons who definitely successful do not become successful by being born. They work hard and determination their lives to succeeding. This is how you can accomplish your goals. as follows are one of the answer and question example that you can certainly implement to practice and supercharge your practical knowledge and also give you insights that could help you to preserve your study in school.

Question:

Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is 10 cm by 10 cm. The volume V(x) in cubic cm of the open top box is a function of the side length x in cm of the square cutouts

Answer:

The volume of a shape is the amount of space in it;

The volume as a function of side length (x) is:

From the question, we have the dimension of the cardboard to be;

When side length (x) is removed from the cardboard, the dimension of the box becomes:

So, the volume of the box is:

Substitute known values

Expand

Rewrite as:

Express as a function

Hence, the required function is:

Read more about volume functions at:

They could potentially hopefully help the student resolve the question by applying the questions and answer examples. You could definitely then have a discussion with your classmate and continue the school learning by studying the problem together.

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