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  1. www.omnicalculator.com › math › volumeVolume Calculator

    30 Ιουλ 2024 · To find the volume of a box, simply multiply length, width, and height — and you're good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters. For dimensions that are relatively small whole numbers, calculating volume by hand is easy.

  2. 26 Μαΐ 2020 · After cutting out the squares from the corners, the width of the open-top box will be 5-2x, and the length will be 7-2x. We’re being asked to maximize the volume of a box, so we’ll use the formula for the volume of a box, and substitute in the length, width, and height of the open-top box.

  3. If $1200\ \mathrm{cm}^2$ of material is available to make a box with a square base and an open top, find the largest possible volume of the box. The quantity we want to optimize is the volume of the box. Let $V$ be the volume of the box. We want to find the maximum value of $V$.

  4. www.gigacalculator.com › calculators › volume-of-box-calculatorVolume of a Box Calculator

    Use this box volume calculator to easily calculate the volume of a rectangular box or tank from its length, width and height (depth) in any metric: mm, cm, meters, km, inches, feet, yards, miles... Useful for shipping dimensions in cubic meters / feet.

  5. A box with a square base and an open top is to be made. You have $1200\operatorname{cm}^2$ of material to make it. What is the maximum volume the box could have?

  6. 19 Αυγ 2021 · A $5\times6$ piece of paper has squares of side-length $x$ cut from each of its corners, such that folding up the sides will create a box with no top. Find the value of $x$ that maximizes the volume of the open-top box without using calculus.

  7. www.calculatorsoup.com › calculators › geometry-solidsVolume Calculator

    4 Οκτ 2023 · Online calculator to calculate the volume of geometric solids including a capsule, cone, frustum, cube, cylinder, hemisphere, pyramid, rectangular prism, sphere and spherical cap. Units: Note that units are shown for convenience but do not affect the calculations.

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