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Find the volume of cube whose surface area is 162 meter square?
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Find the volume of cube whose surface area is 162 meter square?
Surface Area of a Cube:
The surface area of a cube can be calculated by finding the sum of the areas of all the faces. Since a cube has six faces and all the faces are identical squares, we can find the surface area by multiplying the area of one face by 6.
Given:
In this case, the surface area of the cube is given as 162 square meters.
Calculating the Area of One Face:
To find the area of one face, we can divide the total surface area by 6.
Area of one face = 162 m² / 6 = 27 m²
Calculating the Side Length:
Since all the faces of a cube are identical squares, the side length of the cube will be the same as the side length of one face.
Side length = √(Area of one face) = √27 m² = 3√3 m
Calculating the Volume:
The volume of a cube can be found by multiplying the length of one side by itself twice.
Volume = (Side length)³ = (3√3 m)³ = 27√3 m³
Answer:
The volume of the cube is 27√3 cubic meters.
The surface area of a cube can be calculated by finding the sum of the areas of all the faces. Since a cube has six faces and all the faces are identical squares, we can find the surface area by multiplying the area of one face by 6.
Given:
In this case, the surface area of the cube is given as 162 square meters.
Calculating the Area of One Face:
To find the area of one face, we can divide the total surface area by 6.
Area of one face = 162 m² / 6 = 27 m²
Calculating the Side Length:
Since all the faces of a cube are identical squares, the side length of the cube will be the same as the side length of one face.
Side length = √(Area of one face) = √27 m² = 3√3 m
Calculating the Volume:
The volume of a cube can be found by multiplying the length of one side by itself twice.
Volume = (Side length)³ = (3√3 m)³ = 27√3 m³
Answer:
The volume of the cube is 27√3 cubic meters.
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Find the volume of cube whose surface area is 162 meter square?
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Find the volume of cube whose surface area is 162 meter square? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the volume of cube whose surface area is 162 meter square? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the volume of cube whose surface area is 162 meter square?.
Find the volume of cube whose surface area is 162 meter square? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Find the volume of cube whose surface area is 162 meter square? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the volume of cube whose surface area is 162 meter square?.
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