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Find the total surface area of cubes having the following sides.
1) 3 cm 2) 5 cm 3) 5.5 cm
A cube is a 3-dimensional object with 6 faces, 8 vertices, and 12 edges.
Answer: The surface area of a cube is given by 6a2. 1) 54cm2 2)150cm2 3) 181.5cm2
Let's understand the surface area of the cube in detail.
The cube is a 3-dimensional figure formed by 6 square faces and 8 vertices.
Each face is a square of area a2, where a is the length of an edge of the cube.
So, the total surface area is given by 6(a2) = 6a2.
Therefore, the total surface area(TSA) of a cube is given by 6a2.
Let's find the TSA for the given cubes:
- a = 3cm ⇒ TSA = 6(a2) = 6(32) = 6(9) = 54cm2
- a = 5cm ⇒ TSA = 6(a2) = 6(52) = 6(25) = 150cm2
- a = 5.5cm ⇒ TSA = 6(a2) = 6(5.5)2 = 6(30.25) = 181.5cm2
Thus, the surface area of given cubes are is 54cm2, 150cm2, 181.5cm2 respectively. It is obtained by the formula TSA of cube = 6a2.