Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2026 Crash Course
NEET 2026 Crash Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
97 views
in Mathematics by (71.9k points)
closed by
A soild cube is divided into two objects of equal volumes, then what will be the ratio of the total surface area of the cube and the surface area of each cuboidal object?

1 Answer

0 votes
by (72.1k points)
selected by
 
Best answer
Let the length of each side of the cube be a unit. Since the cube is divided into two cuboidal object, so the length of the vuboidal object will be a unit, breadth a unit and height `a/2` unit.
Now, the total surface area of the cube `=6a^2` sq-units and the total surface area fo each cboidal object
`=2(axxa+axxa/2+a/2xxa)`sq - units =2 `(a^2+a^2/2+a^2/2)` sq - units
`=2((2a^2+a^2+a^2)/(2))` sq - units = 2 `((4a^2)/(2))` sq- units `=4a^2`sq - units
So, (the total surface area of the cube ) : (the total surface area of each cuboidal object) `= 6a^2 : 4a^2` = 3 : 2
Hence the required ratio = 3 : 2.

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

...