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a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 7 ft by 5 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way

Respuesta :

The volume of a box is the amount of space in it.

  • The maximum value of the box is 361in3
  • The volume of the largest box is 22.55in3

What is volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using imperial or SI-derived units, such as the cubic meter and liter. The volume of a container is typically thought of as its capacity, not as the amount of space it takes up. In other words, the volume is the amount of fluid (liquid or gas) that the container may hold.

Arithmetic formulas can be used to quickly calculate the volume of several straightforward three-dimensional shapes. If a formula for the shape's boundary is known, it is possible to use integral calculus to determine the volumes of more complex shapes. No object in the dimensions of zero, one, or two has volume; in the dimensions of four and above, the hypervolume is a concept similar to the standard volume.

To learn more about volume from the given link:

https://brainly.com/question/898827

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