Find the total surface area of cubes having the following sides.1) 3 cm2) 5 cm3) 5.5 cm


Question: 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, 181.5cmrespectively. It is obtained by the formula TSA of cube = 6a2.