selective test general ability cubes problems noteseduoz
DESCRIPTION
Selective Test General Ability is a series of presentation to improve students test performance for Selective High School Placement Test, Scholarship Test for Private Schools, Opportunity Class and NAPLAN.TRANSCRIPT
In Selective General Ability Test, you will see questionsabout the cube where you will be asked to find thenumber of faces painted on
Three sides
Two sides
One side
None of the side
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Number of cubes painted on three
adjacent faces
HOW-TO-SOLVE-CUBES-PROBLEMPAINTED ON THREE SIDES
= cube on the eight corners of the
bigger cube
= 8
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Number of smaller cubes painted on two faces will alwaysbe on edges.
Let there are n number of smaller cubes on each edge of thebigger cube.
NOTE: There are always 12 edges in a cube (4 edges on
HOW-TO-SOLVE-CUBES-PROBLEMPAINTED ON TWO SIDES
NOTE: There are always 12 edges in a cube (4 edges ontop, 4 edges on bottom and 4 edges vertically).
NOTE: At each edge two corner cubes are painted threesides. Therefore we have to subtract two cubesfrom the total number (n) of cubes on each edge or(n-2)
Therefore the number of smaller cubes painted on two faces
= total number of edges x (total number of cubes oneach edge – 2)
= 12 (n-2)
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Number of smaller cubes painted on one face willalways be on the surface.
NOTE: There are always 6 surfaces in a cube (Top ⊥ front & back; left side & right side)
NOTE: At each edge cubes are either painted three sides
HOW-TO-SOLVE-CUBES-PROBLEMPAINTED ON ONE SIDE
NOTE: At each edge cubes are either painted three sidesor two sides. Therefore we have to subtract twocubes from the total number (n) of cubes on eachedge or (n-2).
NOTE: Number of cubes left over with one face paintedon each surface = (n-2) x (n-2) = (n-2)2
Number of smaller cubes painted on all faces
= total number of surface (n-2)2
= 6(n-2)2
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Number of smaller cubes not paintedon any side
= (n-2) x (n-2) x (n-2)
= (n-2)3
HOW-TO-SOLVE-CUBES-PROBLEMNOT PAINTED ON ANY SIDES
= (n-2)3
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HOW-TO-SOLVE-CUBES-PROBLEMNOT PAINTED ON ANY SIDES
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HOW-TO-SOLVE-CUBES-PROBLEMNOTPAINTEDON ANYSIDES
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SIDES
Number of smaller
HOW-TO-SOLVE-CUBES-PROBLEMNOTPAINTEDON ANYSIDES
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Number of smallercubes not paintedon any side
= 4 x 4 x 4 = 64
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