Cubes and Dice
Cubes and Dice: 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 and Dice
A cube which is painted red on the outer surface is of height, wide and across. If it is cut into one-inch cubes as shown by dotted lines, indicate the number of cubes which are red on three sides?
A cube which is painted red on the outer surface is of height, wide and across. If it is cut into one-inch cubes as shown by dotted lines, indicate the number of cubes which are red on two sides?
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.
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'?
Select the boxes that can be formed by folding the given sheet along the lines.
Lets say you have three identical cubes which you then join together so that each cube is covering atleast one face of another cube. How many faces of the three cubes are visible now?
Answer the following question on the basis of the given information.
A wooden cube of 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 inches.
How many painted cubes are there which does not have all the three colours together?
Answer the following question on the basis of the given information.
A wooden cube of 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 inches.
How many cubes have only two faces painted?
Answer the following question on the basis of the given information.
A wooden cube of 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 inches.
How many cubes have at least one face painted with purple ?
Answer the following question on the basis of the given information.
A wooden cube of 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 inches.
How many cubes are there with three faces painted?
Answer the following question on the basis of the given information.
A wooden cube of 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 inches.
How many cubes are there which have no face painted?
A cuboid of dimension is painted golden on all of its surfaces. Then it is cut into smaller cubes of dimension . How many cubes at least have three color sides?
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 . How many cubes will have 3 pink color sides?
A cube of side 8 cm is painted purple on all of its surfaces. Then the cube is cut into smaller cubes of dimension .
How many cubes will have three sides painted?
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.
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.
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 . So how many such smaller cubes will be there which has one red and black side each?
Which one of the answers shows the correct views of 3D problem figure after the problem figure is open to 2D?
Which one of the answers shows the correct views of 3D problem figure after the problem figure is open to 2D?
Which one of the answer shows the correct views of 3D problem figure after the problem figure is open to a 2D image?
