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

## 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.