Question 1

Given below are four views of a cube. Each face is marked with a certain symbol. In figure B which symbol will appear on the face opposite to the face having symbol ✬?

Accepted Answer

We follow the given pattern :- Clearly, concentric circles will be on the face opposite to face having symbol star. Hence , option B is correct .

Question 2

Choose from the four answer figures the figure that will be formed when question figure is folded into a box.

Accepted Answer

On the basis of following pattern in given dices , we can say that When the question figure is folded into a box it will look like answer figure (4).

Question 3

Where is the invisible number in the two positions of the same cube?

Accepted Answer

We follow the given pattern :- The invisible number is 4. The numbers 1, 3, 5 and 6 are on faces adjacent to 2. Therefore, 4 lies opposite to 2.

Question 4

Little wooden cubes each with a side of one inch are put together to form a solid cube with a side of three inches. This big cube is then painted red all over on the outside. When the big cube is broken up into the original little ones, how many cub…

Accepted Answer

According to question , 4 cubes each of the first and third layers will have paint on two sides only. Therefore, total number of cubes having paint on two sides = 4 × 2 = 8

Question 5

Two positions of a cubical block are given below, each face having a number of small triangles. In another position of the cube, if there is one triangle at the bottom, how many triangles will be there on the top face?

Accepted Answer

As per the given pattern in question figure , we can find the similar next position of given dice . If there is one triangle at the bottom, there would be three triangles on the top.

Question 6

Four positions of a cube are shown below. Which symbol is opposite the having '+'?

Accepted Answer

On the basis of following pattern in given dices , we can say that The symbols ÷, D and O lie on the adjacent faces of the symbol + and hence these cannot be on the opposite face of +. Considering all the four views of dice, it is clear that Δ lies opposite O. + lies opposite ×. ÷ lies opposite –.

Question 7

Two positions of a block are shown below and when 5 is on top, what is at the bottom?

Accepted Answer

As per the given pattern in question figure , we can find the similar next position of given dice . The numbers 1, 2, 3 and 4 cannot be at the bottom when 5 is on the top. Therefore, 6 will be at the bottom.

Question 8

How many cubes are there in the given (figure)?

Accepted Answer

As per the given above figure , we can see that Six cubes are visible. Hidden cubes = 2 + 1 + 1 = 4 Hence , Total number of cubes = 6 + 4 = 10

Question 9

Which of the four cubes given below can be created by folding the given design?

Accepted Answer

As per the given pattern in question figure , we can find the similar next position of given dice . The four triangular portions will combine to form a face of the type which lies opposite to the face bearing the circle.

Question 10

The question figure is folded to form a box. Choose from the answer figures the box that is similar to the box formed.

Accepted Answer

As per the given pattern in question figure , we can find the similar next position of given dice. The question figure is similar to the Form ( 4 ).

Question 11

Which number will appear at the bottom face in last cube?

Accepted Answer

As per the given pattern in question figure , we can find the similar next position of given dice . 1, 2, 3 and 5 are adjacent to 4. So 6 will be opposite to 4.

Question 12

A solid cube is made using 64 small cubes. In how many small cubes two sides are seen?

Accepted Answer

On the basis of given all above information , we can say that A solid cube is made using 64 small cubes.In 24 small cubes two sides would be seen.

Question 13

In a solid cube made up of 27 small cubes, two opposite sides are painted red, two opposite sides yellow and two other sides white. How many small cubes have the colors yellow and white alone in them?

Accepted Answer

On the basis of above given question , we can say that The cubes of middle row will have no red colour ⇒ 9 Cubes The Central cube will have no colour Now, out of 8 cubes, 4 cubes have either yellow or white colour.

Question 14

A solid cube of 4 inches has been painted red, green and black on pairs of opposite faces. It has been cut into one inch cubes. How many cubes have only 3 faces painted?

Accepted Answer

As per the given all information in above question , we get In layers I and IV four cubes each at the four corners will have three faces painted. Hence , required answer will be option B .

Question 15

A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes have only Red and Green faces?

Accepted Answer

On the basis of given all information in above question , we get There are 4 + 4 = 8 cubes in layer –1 and 4 + 4 = 8 cubes in Layer – 4 which have one face painted green and one face painted red. Thus there are 16 such cubes.

Question 16

A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cut into one inch cubes. How many cubes have only one face painted?

Accepted Answer

As per the given all information in question , we can say that In Layers 1 and 4 the four cubes each in the centre have only one face painted. In Layers 2 and 3, eight cubes each in the centre have one face painted . Thus, total number of cubes = 8 + 16 = 24

Question 17

How many cubes are there in this figure?

Accepted Answer

As per the given in above question figure , we can see that Total number of cubes = 6 × 6 × 4 = 144.

Question 18

Three views of the same cube are given. All the faces of the cube are numbered from 1 to 6. Select one figure which will result when the cube is unfolded.

Accepted Answer

As per the given pattern in question figure , we can find the similar next position of given dice . If we fold the option (1) the number 2 will lie opposite 5. If we fold the option (2) the number 1 will lie opposite 3. If we fold the option (3) the number 2 will lie opposite 5. Therefore, Answer Figure (4) is correct.

Question 19

How many cubes are there in the group?

Accepted Answer

On the basis of the given all information in above question , we can say that 10 cubes are visible and 10 cubes are hidden. Clearly, there is one column having four cubes. There are two columns each having three cubes. There are three columns, each having two cubes. There are four columns, each having only one cube. Thus, total number of cubes = 4 + 6 + 6 + 4 = 20 cubes

Question 20

Few cubes are arranged as shown in the figure. How many cubes are unseen?

Accepted Answer

On the basis of the following given dice, we can say that Three cubes each in the column I and column II from the left are not seen. Similarly, two cubes each in column III and IV are not seen. Total number of unseen cubes = 3 + 3 + 2 + 2 = 10

Cubes and Dice Questions