10 Views

Question : How many identical solid cubes, each having sides that are 3 cm long, can be formed by melting a solid cuboid, whose length, breadth and height are 9 cm, 12 cm and 15 cm, respectively?

Option 1: 50

Option 2: 120

Option 3: 60

Option 4: 90


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: 60


Solution : Given: Length of cuboid, l = 9 cm
Breadth of cuboid, b = 12 cm
Height of cuboid, h = 15 cm
Volume of cuboid = l × b × h = 9 × 12 × 15 = 1620 m3
Now, side of the cube, a = 3 cm
Volume of cube = a= 3= 27 m3
Total solid cubes formed = $\frac{\text{Volume of cuboid}}{\text{Volume of cube}}= \frac{1620}{27}= 60$
Hence, the correct answer is 60.

Know More About

Related Questions

Amity Online MBA
Apply
Apply for an Online MBA from Amity Online.
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books