What is the formula for the surface area of a cube?

What is the formula for the surface area of a cube?

• A. 6 × (Edge Length)²
• B. 2 × (Length × Width + Length × Height + Width × Height)
• C. 4 × π × r²
• D. (1/2) × base perimeter × slant height

Answer: (A)

The formula for the surface area of a cube is calculated by considering that a cube has six identical square faces. Each face has an area calculated by squaring the length of one edge of the cube. Therefore, if we let the length of one edge be represented as "Edge Length," the area of one face would be (Edge Length)². Since there are six of these faces, the total surface area is given by multiplying the area of one face by the number of faces, resulting in the formula 6 × (Edge Length)². This approach directly aligns with how surface area is defined for three-dimensional shapes, making it essential to remember that every face contributes equally to the total surface area in the case of a cube. Other formulas listed pertain to different shapes or geometric calculations: one formula addresses the surface area of a rectangular prism, another deals with the surface area of a sphere, and the last one relates to the lateral surface area calculation of a pyramid. Thus, the formula selected correctly represents the surface area of a cube specifically.

The formula for the surface area of a cube is calculated by considering that a cube has six identical square faces. Each face has an area calculated by squaring the length of one edge of the cube. Therefore, if we let the length of one edge be represented as "Edge Length," the area of one face would be (Edge Length)². Since there are six of these faces, the total surface area is given by multiplying the area of one face by the number of faces, resulting in the formula 6 × (Edge Length)².

This approach directly aligns with how surface area is defined for three-dimensional shapes, making it essential to remember that every face contributes equally to the total surface area in the case of a cube. Other formulas listed pertain to different shapes or geometric calculations: one formula addresses the surface area of a rectangular prism, another deals with the surface area of a sphere, and the last one relates to the lateral surface area calculation of a pyramid. Thus, the formula selected correctly represents the surface area of a cube specifically.