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The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244 . If the thickness of the cuboid is 6 cm, find its length and breadth.?
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The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244...
Given Data:
Volume of the cuboid = 576 cm^3
Diagonal length = 24 cm
Thickness = 6 cm
Finding Length and Breadth:
Step 1: Finding the Length and Breadth of the Cuboid
Let the length, breadth, and height of the cuboid be L, B, and H respectively.
Given, Volume of the cuboid = L x B x H = 576 cm^3
Step 2: Finding the Diagonal of the Cuboid
The diagonal of the cuboid can be calculated using the formula:
Diagonal = √(L^2 + B^2 + H^2)
Given, Diagonal = 24 cm
Substitute the values and simplify the equation.
Step 3: Finding Length and Breadth
Since the thickness of the cuboid is 6 cm, we have:
L = B + 6
Substitute the value of L in terms of B in the equation from Step 1 to find the values of Length and Breadth.
By following these steps, you can calculate the length and breadth of the cuboid using the given volume, diagonal length, and thickness. This will help you understand the concept of finding dimensions of a cuboid based on different parameters.
Volume of the cuboid = 576 cm^3
Diagonal length = 24 cm
Thickness = 6 cm
Finding Length and Breadth:
Step 1: Finding the Length and Breadth of the Cuboid
Let the length, breadth, and height of the cuboid be L, B, and H respectively.
Given, Volume of the cuboid = L x B x H = 576 cm^3
Step 2: Finding the Diagonal of the Cuboid
The diagonal of the cuboid can be calculated using the formula:
Diagonal = √(L^2 + B^2 + H^2)
Given, Diagonal = 24 cm
Substitute the values and simplify the equation.
Step 3: Finding Length and Breadth
Since the thickness of the cuboid is 6 cm, we have:
L = B + 6
Substitute the value of L in terms of B in the equation from Step 1 to find the values of Length and Breadth.
By following these steps, you can calculate the length and breadth of the cuboid using the given volume, diagonal length, and thickness. This will help you understand the concept of finding dimensions of a cuboid based on different parameters.
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The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244 . If the thickness of the cuboid is 6 cm, find its length and breadth.?
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The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244 . If the thickness of the cuboid is 6 cm, find its length and breadth.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244 . If the thickness of the cuboid is 6 cm, find its length and breadth.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244 . If the thickness of the cuboid is 6 cm, find its length and breadth.?.
The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244 . If the thickness of the cuboid is 6 cm, find its length and breadth.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244 . If the thickness of the cuboid is 6 cm, find its length and breadth.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The volume of a cuboid is 576 cm 3 . The length of its diagonal is 244 . If the thickness of the cuboid is 6 cm, find its length and breadth.?.
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