Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
494 views
in Number System by (26.3k points)
closed by

What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.

1 Answer

+1 vote
by (25.0k points)
selected by
 
Best answer

Volume of cube = 275 cm3 (Given) 

Let side of cube = a cm 

So, 

\(a^3 = 275\) 

= \(a = \sqrt[3]{275}\) 

We know that value of \(\sqrt[3]{275}\) will lie between \(\sqrt[3]{270}\) and \(\sqrt[3]{280.}\)

From cube root table we get, 

\(\sqrt[3]{270}\)  = 6.463 and \(\sqrt[3]{280.}\) = 6.542

So by unitary method, 

∵ For difference (280 – 270 = 10 ) difference in cube root values = 6.542 – 6.463 = 0.079 

∴ For difference (275 – 270 = 5) difference in cube root values = 

Hence, \(\sqrt[3]{275} = 6.463 + 0.04 = 6.503.\)

Thus the required cube root is = 6.503.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...