GATE CE 2016 Set 1 — Question 5
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+1 / -0.33MediumMensuration & GeometryQuantitative AptitudeGeneral Aptitude2D & 3D PatternsSpatial Aptitude
General Aptitude → Quantitative Aptitude → 2D & 3D Patterns
Last updated
Question
A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is __________.
Correct answer
(D) 96
Solution
1.The total number of blocks is 64. Since it's a cube, the side length units.
2.The initial surface area of the cube is square units.
3.When a corner block is removed from a cube, three of its faces that were part of the original surface are removed. However, three new faces (the inner faces of the blocks that were adjacent to the removed block) are now exposed to the surface.
4.Net change in surface area per corner = .
5.Since the net change is zero for each of the 8 corners, the total surface area remains unchanged.
6.Resulting surface area = 96 square units.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
Also appeared in
More questions on Quantitative Aptitude
2026 Set 2 Q1'The team ____ more than 300 runs in 20 overs ____ rains. However, some players needed to…2026 Set 1 Q1‘The shopkeeper sells lemons.’ In this sentence, the word ‘lemons’ is the ________.2026 Set 2 Q2If a positive real satisfies the following equation then…2026 Set 1 Q2The figure below is supposed to show three non-overlapping shapes – one oval and two triangles.…2026 Set 2 Q3The next figure (indicated by ‘?’) in the sequence is