If the total surface area of a cube is 2646 cm2, then find the length of each side of the cube.
Question
If the total surface area of a cube is 2646 cm², then find the length of each side of the cube.
Solution
To find the length of each side of the cube, we can use the formula for the surface area of a cube. The formula is given by 6s^2, where s represents the length of each side of the cube.
Given that the total surface area of the cube is 2646 cm^2, we can set up the equation as follows:
6s^2 = 2646
To solve for s, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 6:
s^2 = 2646/6
s^2 = 441
To find the value of s, we take the square root of both sides of the equation:
s = √441
s = 21
Therefore, the length of each side of the cube is 21 cm.
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