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