Question

find the surface area of a cube whose perimeter of one face is 20 cm.​

Answer 1

Answer:

Yes! Here is your answer!

Step-by-step explanation:

Cube has 6 face, It's total surface area is the sum of areas of its 6 faces .

We need to remember that, A cube is the 3D figure ( 3 Dimensional figure ) , and has length, breadth, height.

However, Length, Breadth, Height are equal and can be referred as edge of the cube.

Now, Given that Perimeter of one face of the cube = 20cm.

4 * Edge = Perimeter [ Formula ]

So, 20cm = 4 * Edge

Edge = 20/4 = 5cm.

Surface area of one face = 5² = 25 cm²

A cube has 6 face, So Total surface area = 6 * 25 = 150cm²

Else You can use the formula ,Total surface area = 6(edge)² = 6(5²) = 6*25 = 150cm²

Answer 2

Step-by-step explanation:

let the side is x

$4x = 20 \\ x = 5cm \\ surface \: area \: \: is \: 6 {x}^{2} = 6 \times {5 }^{2} = 6 \times 25 = 150cm2$

please follow me