Selective Test General Ability Cubes Problems NotesEduOz

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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.

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Cube Problems

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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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BIGGER CUBES PAINTED ON ALL SIDES

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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 NOTPAINTED 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

HOW-TO-SOLVE-CUBES-BLOCKS PROBLEM

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