How do you find the volume of a box with an open top?

The formula for volume of the box is V=l×l×h . You can determine the maximum value of this function using graphing calculator.

What is the formula for surface area of a box?

We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

What is the surface area of a square based box?

The width, height, and length of a box can all be different. If they are the same, then the box will become a perfectly square box. The volume, or amount of space inside a box is h × W × L. The outside surface area of a box is 2(h × W) + 2(h × L) + 2(W × L)

How do you find the volume of a square?

The volume of a square box is equal to the cube of the length of the side of the square box. The formula for the volume is V = s3, where “s” is the length of the side of the square box.

What is the volume of a box with a square base?

A box with a square base and open top must have a volume of 32,000cm^3. How do you find the dimensions of the box that minimize the amount of material used? | Socratic

What is the volume of a rectangular box with no top?

A rectangular box with a square base and no top is to have a volume of 108 cubic cm. Find the dimensions for the box that will require the least number of material? I think that my box is not to scale!

What is the surface area of the rectangular box with edges?

It is well known that the surface area for the rectangular box with edges x, y and z is 2 (xy + xz + yz), while its volume is xyz. We should maximize this function. and x and y must not be zero (otherwise, the volume will become zero), we find critical point from the system

What is the critical number of a box?

The only critical number is x = 40 cm. A” = 2 + 256,000 x3 which is positive at x = 40. The box should have base 40 cm by 40 cm and height 20 cm.