WINSEM2018-19_STS2002_SS_TT621_VL2018195001084_Reference Material I_Cubes.pdf - CUBES CUBES INTRODUCTION A cube is a 3-dimensional diagram with all

WINSEM2018-19_STS2002_SS_TT621_VL2018195001084_Reference Material I_Cubes.pdf

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CUBES Schedule a Mock Interview at facebook.com/ethnus © 2018 Ethnus Consultancy Services Pvt. Ltd. All rights reserved. This material or any portion thereof may not be reproduced or used in any manner. To report violation, ask query, or provide feedback e-mail us at [email protected] CUBES INTRODUCTION A cube is a 3-dimensional diagram with all sides equal. Face : Also called facets or sides. A cube has six faces which are all squares, so each face has four equal sides and all four interior angles are right angles. Edge : A line segment formed where two edges meet. A cube has 12 edges. Because all faces are squares and congruent to each other, all 12 edges are the same Corner/ Vertex: A point formed where three edges meet. A cube has 8 vertices. Face Diagonals: Face diagonals are line segments linking the opposite corners of a face. Each face has two, for a total of 12 in the cube. The length of the face diagonals is given by the formula where s is the length of one side (edge). Since the faces are squares, this is the same as the diagonal of a square. Space Diagonals: Space diagonals are line segments linking the opposite corners of a cube, cutting through its interior. A cube has 4 space diagonals. The length of the space diagonal is given by the formula where s is the length of one side (edge). Edge Face Corner
CUBES Schedule a Mock Interview at facebook.com/ethnus © 2018 Ethnus Consultancy Services Pvt. Ltd. All rights reserved. This material or any portion thereof may not be reproduced or used in any manner. To report violation, ask query, or provide feedback e-mail us at [email protected] KEY POINTS Note: In a cube or a cuboid there are six faces in each. In a cube length, breadth and height are same while in cuboid these are different. In a cube the number of unit cubes = (side)3. In cuboid the number of unit cube = (l x b x h) PRACTICE PROBLEMS (EXPLANATORY ANSWERS AT THE END) 1. What is the maximum number of identical pieces a cube can be cut into by 18 cuts? A. 21 B.729 C. 343 D. 324 2. If a cube is cut 17 times, then what is the maximum number of identical pieces that can be obtained? A.100 B.18 C. 294 D. None

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• Winter '17
• sathya raja shekaran
• Faces, unit cube, Ethnus Consultancy Services Pvt

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