Class 9 Exam > Class 9 Questions > A cuboid has a total surface area of 384 cm^2...
Start Learning for Free
A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is?
Most Upvoted Answer
A cuboid has a total surface area of 384 cm^2.The sum of the squares o...
Calculating the Length of the Cuboid
1. Given Information:
- Total surface area of the cuboid = 384 cm^2
- Sum of the squares of its length, breadth, and height = 192 cm^2
2. Surface Area of a Cuboid:
The total surface area of a cuboid is given by the formula:
Surface Area = 2(lb + bh + hl), where l = length, b = breadth, h = height.
3. Equation 1:
From the given information, we have:
2(lb + bh + hl) = 384
4. Equation 2:
The sum of the squares of length, breadth, and height is given by:
l^2 + b^2 + h^2 = 192
5. Substitute and Simplify:
- Using Equation 1 and Equation 2, we can substitute the values to get:
2(lb + bh + hl) = 384
l^2 + b^2 + h^2 = 192
6. Find the Length:
- To find the length, we need to solve these equations simultaneously to get the value of l.
7. Conclusion:
- By solving the equations, we can find the length of the cuboid.
By following these steps and solving the equations accurately, you can determine the length of the cuboid using the given information about its total surface area and the sum of the squares of its dimensions.
1. Given Information:
- Total surface area of the cuboid = 384 cm^2
- Sum of the squares of its length, breadth, and height = 192 cm^2
2. Surface Area of a Cuboid:
The total surface area of a cuboid is given by the formula:
Surface Area = 2(lb + bh + hl), where l = length, b = breadth, h = height.
3. Equation 1:
From the given information, we have:
2(lb + bh + hl) = 384
4. Equation 2:
The sum of the squares of length, breadth, and height is given by:
l^2 + b^2 + h^2 = 192
5. Substitute and Simplify:
- Using Equation 1 and Equation 2, we can substitute the values to get:
2(lb + bh + hl) = 384
l^2 + b^2 + h^2 = 192
6. Find the Length:
- To find the length, we need to solve these equations simultaneously to get the value of l.
7. Conclusion:
- By solving the equations, we can find the length of the cuboid.
By following these steps and solving the equations accurately, you can determine the length of the cuboid using the given information about its total surface area and the sum of the squares of its dimensions.
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is?
Question Description
A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? 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 A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is?.
A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? 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 A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is?.
Solutions for A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? defined & explained in the simplest way possible. Besides giving the explanation of
A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is?, a detailed solution for A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? has been provided alongside types of A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? theory, EduRev gives you an
ample number of questions to practice A cuboid has a total surface area of 384 cm^2.The sum of the squares of its length, breadth and height is 192 cm^2.The length of the cuboid is? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup