If the surface area of a cube is 216 square meters, what is the length of one si

Practice Questions

Q1
If the surface area of a cube is 216 square meters, what is the length of one side of the cube?
  1. 6 meters
  2. 9 meters
  3. 12 meters
  4. 15 meters

Questions & Step-by-Step Solutions

If the surface area of a cube is 216 square meters, what is the length of one side of the cube?
  • Step 1: Understand that a cube has 6 equal square faces.
  • Step 2: Know the formula for the surface area (SA) of a cube is SA = 6a², where 'a' is the length of one side.
  • Step 3: We are given that the surface area is 216 square meters, so we can set up the equation: 6a² = 216.
  • Step 4: To solve for a², divide both sides of the equation by 6: a² = 216 / 6.
  • Step 5: Calculate 216 divided by 6, which equals 36. So now we have a² = 36.
  • Step 6: To find 'a', take the square root of both sides: a = √36.
  • Step 7: Calculate the square root of 36, which is 6. Therefore, the length of one side of the cube is 6 meters.
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