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What is the surface area of a cube?
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The definition of surface area of a given cube states that if the total surface area is equal to the sum of all the areas of the faces of the cube. Since the cube has six faces, therefore, the total surface area of the cube will be equal to sum of all six faces of cube.
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The formula of the total surface area of the cube is used to find the area occupied by the six surfaces. TSA of the cube is obtained by multiplying the square of its side length by 6. Thus, the formula for the surface area of the cube, with side length "a" is"6a2". Total Surface Area of a Cube = (6 × side2) square units
The formula of the lateral surface area of the cube is used to find the area occupied by the four lateral or side surfaces. LSA of the cube is obtained by multiplying the square of its side length by 4. Thus, the formula for the lateral surface area of the cube, with side length "a" is"4a2". Lateral Surface Area of a Cube = (4 × side2) square units...
The volume of a cube of side length 'a' is given by a3. Thus, when the volume of cube is given, take its cube root to find 'a'. Then, substitute the value of 'a' in the formula 6a2to find the surface area of the cube. Example:What is the surface area of cube whose volume is 125 cubic units? Solution: The volume is, a3 = 125. This gives, a = 3√125 =...
The diagonal of a cube of side length 'a' is given by the formula a√3. When we know the diagonal of a cube, set it equal to a√3 and solve it for 'a'. Then, we can find the surface area using the formula 6a2. Example:Find the surface area of a cube whose diagonal is 10√3 units. Solution: The diagonal of the cube is a√3 = 10√3. Dividing both sides by...
Learn how to calculate the total surface area (TSA) and lateral surface area (LSA) of a cube using simple formulas. Find the TSA of a cube = 6a2 and the LSA of a cube = 4a2, where a is the side length of the cube.
Aug 3, 2023 · The surface area or the total surface area of a cube is the entire space occupied by its outer faces. In other words, it is the number of unit squares needed to cover its shape. It is expressed in square units such as m 2, cm 2, mm 2, or in 2. Formula. The formula is: Surface Area of a Cube. How to Find the Surface Area of a Cube.
Learn how to calculate the surface area of a cube using the formula S=6x^2, where x is the side length. See examples, word problems, and practice questions with solutions.
How to find the surface area of a cube. Recall that a cube has all edges the same length (See Cube definition ). This means that each of the cube's six faces is a square. The total surface area is therefore six times the area of one face. Or as a formula: surface area. = 6. s. 2. Where s is the length of any edge of the cube.