Answer: the total surface area of the cube is 6X^2 - 24X + 24 square centimeters
Step-by-step explanation: The surface area of a cube is given by the formula:
A = 6s^2
where A is the surface area and s is the length of one edge of the cube.
In this case, the length of one edge is X-2 cm. Substituting into the formula, we get:
A = 6(X-2)^2
Expanding the expression inside the brackets:
A = 6(X^2 - 4X + 4)
Multiplying by 6:
A = 6X^2 - 24X + 24
Therefore, the total surface area of the cube is 6X^2 - 24X + 24 square centimeters.
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Answer: the total surface area of the cube is 6X^2 - 24X + 24 square centimeters
Step-by-step explanation: The surface area of a cube is given by the formula:
A = 6s^2
where A is the surface area and s is the length of one edge of the cube.
In this case, the length of one edge is X-2 cm. Substituting into the formula, we get:
A = 6(X-2)^2
Expanding the expression inside the brackets:
A = 6(X^2 - 4X + 4)
Multiplying by 6:
A = 6X^2 - 24X + 24
Therefore, the total surface area of the cube is 6X^2 - 24X + 24 square centimeters.