Cubes

IMPORTANT

Cubes: Overview

This topic covers concepts, such as, Counting of Cubes in a Regular Figure, Cubes Reasoning, Folding of Paper into Cube & Unfolding a Cube into 2D Paper etc.

Important Questions on Cubes

EASY
IMPORTANT

Which of the four cubes pictured below are correct view when the six squares are folded (in clockwise direction) in to a cube?


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EASY
IMPORTANT

The sheet of paper shown in the figure given on the top, is folded to form a box. Choose from amongst the alternatives (A), (B), (C) and (D), the boxes that are similar to the box that will be formed.

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EASY
IMPORTANT

A cube is made by folding the given sheet. In the cube so formed, what would be the letter on the face opposite the face showing the letter 'A'? 
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EASY
IMPORTANT

Select the boxes that can be formed by folding the given sheet along the lines.

HARD
IMPORTANT

Answer the following question on the basis of the given information.

A wooden cube of 8 inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of 2 inches.

How many painted cubes are there which does not have all the three colours together?

HARD
IMPORTANT

Answer the following question on the basis of the given information.

A wooden cube of8  inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of2  inches.

How many cubes have only two faces painted?

MEDIUM
IMPORTANT

Answer the following question on the basis of the given information.

A wooden cube of 8 inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of 2 inches.

How many cubes have at least one face painted with purple ?

HARD
IMPORTANT

Answer the following question on the basis of the given information.

A wooden cube of  8 inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of 2  inches.

How many cubes are there with three faces painted? 

HARD
IMPORTANT

Answer the following question on the basis of the given information.

A wooden cube of 8 inches is painted in a fixed pattern:

a. The two opposite faces in front and back are painted in purple colour.

b. The two opposite faces on the sides are painted in orange colour.

c. The remaining top and bottom are painted in green colour.

The cube is cut into smaller cubes of2  inches.

How many cubes are there which have no face painted?

 

 

EASY
IMPORTANT

A cuboid of dimension 3×4×1 is painted golden on all of its surfaces. Then it is cut into smaller cubes of dimension 1×1×1. How many cubes at least have three color sides?

EASY
IMPORTANT

A cube of side 5 cm is painted pink on any of its 3 adjacent surfaces then the cube is cut into smaller cubes of dimensions 1×1×1. How many cubes will have 3 pink color sides?

EASY
IMPORTANT

A cube of side 8 cm is painted purple on all of its surfaces. Then the cube is cut into smaller cubes of dimension 2×2×2.

How many cubes will have three sides painted?

EASY
IMPORTANT

A cube having 4 cm side is painted Red, black, golden on three of its adjacent surfaces. After that the cube is divided into smaller cubes such that the edge of the smaller cube is 1 cm each.

How many such smaller cubes will be there in which none of the surface is painted.

HARD
IMPORTANT

Which number appears in the face opposite to the face with number 2?

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EASY
IMPORTANT

A cube having 6 cm side is painted black from all its surfaces. After that the cube is divided into smaller cubes such that the edge of the smaller cube is 1 cm each.

How many such smaller cubes will be there in which none of the surface is painted.

EASY
IMPORTANT

A cube of 4 sm side each is painted half red and half black such that upper half is red and below half is black. Then the cube divided into smaller cubes such that each small cube has dimension 1×1×1. So how many such smaller cubes will be there which has one red and black side each?

EASY
IMPORTANT

A larger Cube of side 4 cm is cut into smaller cubes such that the side of each smaller cubes is 1cm. If all the cubes from the corner are removed then, how many smaller cubes are remaining?

MEDIUM
IMPORTANT

Select the dice that can be formed by folding the given sheet along the lines.

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MEDIUM
IMPORTANT

A cube is made by folding the given sheet. In the cube so formed, which of the following pair of letters will be on opposite sides?

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MEDIUM
IMPORTANT

Select the box that CANNOT be formed by folding the given unfolded box. 

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