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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 6a^{2}. 1) 54cm^{2} 2)150cm^{2} 3) 181.5cm^{2}

Let's understand the surface area of the cube in detail.

**Explanation:**

The cube is a 3-dimensional figure formed by 6 square faces and 8 vertices.

Each face is a square of area a^{2}, where a is the length of an edge of the cube.

So, the total surface area is given by 6(a^{2}) = 6a^{2}.

Therefore, the total surface area(TSA) of a cube is given by 6a^{2}.

Let's find the TSA for the given cubes:

- a = 3cm ⇒ TSA = 6(a
^{2}) = 6(3^{2}) = 6(9) = 54cm^{2} - a = 5cm ⇒ TSA = 6(a
^{2}) = 6(5^{2}) = 6(25) = 150cm^{2} - a = 5.5cm ⇒ TSA = 6(a
^{2}) = 6(5.5)^{2}= 6(30.25) = 181.5cm^{2}

### Thus, the surface area of given cubes are is 54cm^{2}, 150cm^{2}, 181.5cm^{2 }respectively. It is obtained by the formula TSA of cube = 6a^{2}.

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