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## A box with a square base and open top must have a volume of 32,000 cm3.

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## What is the volume of a square box with open top?

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A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used. | Wyzant Ask An Expert

How to find the volume of a square box?

What Are the 3 Ways To Find the Volume of a Square Box? 1 Method 1: Using the formula of volume with the length of an edge given: V = s 3 2 Method 2: Using the formula of volume where the length of the diagonal is given: V = (√3×d 3 )/9 3 Method 3: Multiplying the base area with the height of the object: V = base area × h

What is the maximum volume of an open box?

a = 3 . Thus, the maximum volume of the open box is 13.5 i n 3. Note: We must remember that the surface area of open box with a square base is s = a 2 + 4 a h and the surface area of a closed box with a square base is s = 2 a 2 + 4 a h.

How much material is required to make a square box?

A box with a square base and an open top is to be made. You have 1200 cm 2 of material to make it. What is the maximum volume the box could have? where x is length of base and z is height of box.

How do you find the surface area of a box?

Then the surface area, S.A, is given by: Solve for one of the variables. The formula for volume of the box is V = l ×l ×h. You can determine the maximum value of this function using graphing calculator. For the maximum, you should get a maximum volume of 13.5 in3. A length of 3 inches would give this maximum.

## What is the area of the material used in the box?

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The area of the material used is 192 sq. cms. If the volume of the box is maximum, the dimensions of the box are A box is made with square base and open top. The area of the material used is 192 sq. cms. If the volume of the box is maximum, the dimensions of the box are

How to find the surface area of a box?

To find the surface area of a box, start by calculating the area of each side using the formula a = lh, where l is the length and h is the height. Once you know the area of every side, add them all together to get the surface area of the box. If the box is cylindrical, you’ll need to use the formula: surface area = 2b + hc, where b is the area …

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

How to minimize the amount of material used in a box?

The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area. which gives us h = 32,000 x2, so the area becomes: 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.

How do you calculate the volume of a box made of steel?

You would first have to calculate the total surface area of the box in square inches (so you would have to know its length in addition to its width and height). Next you would have to calculate the volume of the steel in cubic inches.

## What are the dimensions of the box?

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A box is made with square base and open top. The area of the material used is 192 sq. cms. If the volume of the box is maximum, the dimensions of the box are A box is made with square base and open top. The area of the material used is 192 sq. cms.

**length x width x height**format ,’ where Length is the larger of the two dimensions of the box face, Width is the smaller of those dimensions, and height is the distance measured perpendicular to the length and width.

What are the three dimensions of a box?

The three main dimensions by which boxes are measured include length, width, and depth. To get started, look at the top opening of the box to measure the following dimensions; Length: The longest side when looking at the top of the box. Width: The shorter side when looking at the top of the box.

How are box sizes measured?

When you see the box measurements listed in a catalog or a website, they’re typically referring to the interior dimensions. Box sizes are measured by their internal dimensions, and are are listed in the order of length, width, and height (L x W x H). If you’re measuring for a custom box, you should measure to the closest 1/10th of an inch.

Why is it important to know box dimensions?

Think of it this way; minimal room for movement in the box means minimal room for damage. Box dimensions are a critical part of any package as the dimensions of a box have an impact on what materials are needed to be used, the cost of production, shipping, etc… The three main dimensions by which boxes are measured include length, width, and depth.

What is the standard size of shipping box?

The most common standard size shipping box sizes for a wide range of items are as listed below; 9″ x 6″ x 2″ : standard box size for iphone size, samsung galaxy size, … 17” x 12 ⅜” x 12 ⅜”: books, magazines, CDs, DVDs, small electronics. 18” x 16” x 18”: towels, lamps/lampshades, home decorations.

## How big does a box have to be to teach math?

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Contact Us Subject ZIP Search Search Find an Online Tutor Now Ask Ask a Question For Free Login Math Chris S. asked • 01/04/16 A box with a square base and open top must have a volume of 4,000 cm3.

How many boxes do I need to draw?

You’ll know how many boxes to draw based on the number of digits, or single numbers, in the numbers you’re multiplying. For example, if your problem is 46 x 958, you will need 2 boxes down (for 46) and 3 boxes across (for 958). Write your expanded form numbers on the outside of the boxes, with one part per box.

How do I Use my maths tool box?

Once you have created your own maths tool box for each table group in your class, leave the tool box on the tables, or on a near by shelf. Encourage your students to use their tool box each day during daily maths warm ups or when working through set tasks. Dice are a must have resource in any maths tool box.

Could you be the maths teacher they need?

Could you be the teacher they need? Demand for qualified maths teachers continues to rise, and pupil numbers in secondary schools are expected to be 15% higher by 2025. Currently this demand is not being met, and children in the poorest areas are already not receiving the maths education that they need and deserve.

How do children learn Maths?

Most children learn maths through multiple representations and with hands-on activities. By doing mathematics with a variety of tools, students will be able to develop the confidence to solve a broader range of mathematical problems.

References:

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## Information related to the topic a box with a square base and open top

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Questions just answered:

How to find the surface area of a box?

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

How to minimize the amount of material used in a box?

How do you calculate the volume of a box made of steel?

What is the area of the material used in the box?

How many boxes do I need to draw?

How do I Use my maths tool box?

Could you be the maths teacher they need?

How do children learn Maths?

How big does a box have to be to teach math?

What are the three dimensions of a box?

How are box sizes measured?

Why is it important to know box dimensions?

What is the standard size of shipping box?

What are the dimensions of the box?

How to find the volume of a square box?

What is the maximum volume of an open box?

How much material is required to make a square box?

How do you find the surface area of a box?

What is the volume of a square box with open top?

a box with a square base and open top

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