Question

The total surface area of a cube is 150 cm^2. Find the perimeter of any one of its faces.

Answer 1

TSA of cube = 6a square
150/6 = a square
25 = a square
a = √25 = 5 cm
Perimeter of one face = 4*5 = 20 cm

Answer 2

Given:

Total surface area of a cube = 150 cm²

To Find:

Find the perimeter of any one of any one surface

Solution:

Find the area of one surface:

A cube has 6 surface area

6 surface area = 150 cm²

1 surface area = 150 ÷ 6

1 surface area = 25 cm²

Find the length of one edge:

Area = Length²

Length² = 25 cm²

Length =  √25

Length = 5 cm

Find the perimeter:

Perimeter = 4(Length)

Perimeter = 4(5)

Perimeter = 20 cm

Answer: The perimeter is 20 cm