Determine the content of a cube based on its surface

Author: Christy White
Date Of Creation: 7 May 2021
Update Date: 1 July 2024
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How to Find the Surface Area of a Cube | Math with Mr. J
Video: How to Find the Surface Area of a Cube | Math with Mr. J

Content

The volume of a three-dimensional shape is a measure of the space within the shape and is determined by multiplying the length, width and height. A cube is a three-dimensional shape where the length, width and height are equal. So the volume of a cube is easy to find, given the length of one side. You can also find the volume using the area, from which you can deduce the length of one side.

To step

Part 1 of 2: Determining the length of one side

  1. Draw up the formula for the area of ​​a cube. The formula is Oppervlakte=6X2{ displaystyle area = 6x ^ {2}}Insert the area of ​​the cube into the formula. This information must be provided.
    • If you don't know the area of ​​the cube, this method won't work.
    • If you already know the length of one side of the cube, you can skip the next steps and get that value for X{ displaystyle x}Divide the area by 6. This will give you the value of X2{ displaystyle x ^ {2}}Find the square root. This will give you the value of X{ displaystyle x}Draw up the formula for the volume of a cube. The formula is v=X3{ displaystyle v = x ^ {3}}Insert the length of one side into the formula. You should have already calculated this from the given area.
      • For example, if one side of a cube is four centimeters long, your formula would look like this:
        v=43{ displaystyle v = 4 ^ {3}}Multiply the length of one side to the cube. To do this, you can use a calculator or simply multiply one side three times by itself. This will give you the volume of your cube, in cubic units.
        • For example: if the length of one side is four centimeters, you calculate this as follows:
          v=43{ displaystyle v = 4 ^ {3}}
          v=4×4×4{ displaystyle v = 4 times 4 times 4}
          v=64{ displaystyle v = 64}
          So the volume of a cube with a side of four centimeters is: 64cm3{ displaystyle 64cm ^ {3}}

Necessities

  • Pencil / pen
  • Paper