Question
Download Solution PDFA cuboid of length 36 m, breadth 18 m and height 9 m is melted and recast into a cube. Find the length of the diagonal of the cube.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A cuboid of length 36 m, breadth 18 m and height 9 m is melted and recast into a cube.
Concept used:
Volume of cuboid = L × H × B
Volume of cube = a3
Here,
L = Lenght
B = breadth
H = height
a = side of the cube
Calculation:
Let the side of the cubes to be formed be a
According to the question,
Volume of cuboid = volume of the cube
So,
36 × 18 × 9 = a3
⇒ 5832 = a3
⇒ a3 = 183
⇒ a = 18
So, the diagonal of the cube is 18√3
∴ The length of the diagonal of the cube is 18√3.
Last updated on Jul 10, 2025
-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.