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If the surface area of a cube is 216 square meters, what is the length of one si
If the surface area of a cube is 216 square meters, what is the length of one side of the cube?
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If the surface area of a cube is 216 square meters, what is the length of one side of the cube?
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The surface area of a cube is given by the formula SA = 6a². Setting 6a² = 216, we find a² = 36, thus a = 6 meters.
Questions & Step-by-step Solutions
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Q
Q: If the surface area of a cube is 216 square meters, what is the length of one side of the cube?
Solution:
The surface area of a cube is given by the formula SA = 6a². Setting 6a² = 216, we find a² = 36, thus a = 6 meters.
Steps: 7
Show Steps
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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