QUESTION

CSAT

Easy

Reasoning

Prelims 2024

What is the least possible number of cuts required to cut a cube into 64 identical pieces?

Select an option to attempt

Explanation

  1. Understanding the Divisions Needed:

    • To get 64 identical pieces, we need 4×4×4=644 \times 4 \times 4 = 64 sections.
    • This means we divide the cube into 4 equal sections along each of the 3 dimensions.
  2. Minimum Cuts Calculation:

    • For each dimension, 3 cuts are required to divide the cube into 4 sections.
    • Since there are 3 dimensions, we need 3 cuts per dimension.

    3 cuts ×\times 3 dimensions = 9 cuts total

Q5

Q5

Therefore, the least possible number of cuts required to cut the cube into 64 identical pieces is 9.

Trusted by 2L aspirants

Practice UPSC Prelims PYQs Smarter

Practice Now
  • Track accuracy & weak areas
  • See past trends & repeated themes
Start Practicing Now

Crack UPSC with your
Personal AI Mentor

An AI-powered ecosystem to learn, practice, and evaluate with discipline

SuperKalam is your personal mentor for UPSC preparation, guiding you at every step of the exam journey.

Download the App

Get it on Google PlayDownload on the App Store
Follow us

ⓒ Snapstack Technologies Private Limited