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.

Explanation:

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.