Question

the total surface area of a cube is 150 square centimetre find the perimeter of any one of its face

Answer 1

Q. The total surface area of a cube is 150 square centimetre find the perimeter of any one of its face.

Solution :

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Total surface area of a cube,
= 6 l² ( in which l is the side of the cube )
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Given :-
Total surface area of cube = 150 cm².

=> 6 l² = 150

=> l² = 150/6

=> l² = 25

=> l = √25

=> l = 5

Hence, each side of the cube is 5 cm.

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As we know that each face of cube is square.

Each (edge) side of cube = 5cm


Now,
Perimeter of one face of cube :
= 4×side
= 4×5
= 20 cm

Answer 2

One face of the cube has a perimeter of 4 x 5 = 20 centimeters.

The total surface area of a cube is equal to the sum of the areas of all its six faces. If the total surface area of a cube is 150 square centimeters, we can find the area of one face by dividing the total surface area by 6.

Total surface area = 6 x area of one face

Area of one face = Total surface area / 6

In this case,

Area of one face = 150 / 6

Area of one face = 25 square centimeters

Therefore, the area of one face of the cube is 25 square centimeters. The perimeter of a square can be found by adding up the lengths of all its sides. In this case, since each face of the cube is a square, the perimeter of one face of the cube is equal to four times the length of one side.

Since the area of a square is equal to the square of its side length, we can use the following formula to find the side length:

Side length = square root of (Area of one face)

In this case,

Side length = square root of (25)

Side length = 5 centimeters

Therefore, the perimeter of one face of the cube is equal to 4 x 5 = 20 centimeters.

For more such questions on surface area: https://brainly.in/question/17387190

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