Surface area of a cubeTo derive the formula of the surface area of a cube, do the followings:
In order to make a cube like the one shown above, you basically use the following cube template: Looking at the cube template, it is easy to see that the cube has six sides and each side is a square The area of one square is a × a = a^{2} Since there are six sides, the total surface area, call it SA is: SA = a^{2} + a^{2} + a^{2} + a^{2} + a^{2} + a^{2} SA = 6 × a^{2} Example #1: Find the surface area if the length of one side is 3 cm Surface area = 6 × a^{2} Surface area = 6 × 3^{2} Surface area = 6 × 3 × 3 Surface area = 54 cm^{2} Example #2: Find the surface area if the length of one side is 5 cm Surface area = 6 × a^{2} Surface area = 6 × 5^{2} Surface area = 6 × 5 × 5 Surface area = 150 cm^{2} Example #3: Find the surface area if the length of one side is 1/2 cm Surface area = 6 × a^{2} Surface area = 6 × (1/2)^{2} Surface area = 6 × 1/2 × 1/2 Surface area = 6 × 1/4 Surface area = 6/4 cm^{2} Surface area = 3/2 cm^{2} Surface area = 1.5 cm^{2} 




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