Count the number of cubes in the given figure.

Correct Answer: Option 1,3 and 4

Explanation:

When the sheet in fig. (A) is folded, then one of the faces of the cube formed will be of the form   and this face will lie opposite the face bearing a square. Also, one of the blank faces lies opposite another blank face and the third blank face lies opposite the face bearing an '=' sign. Clearly, all the three blank faces cannot appear adjacent to each other. So, the cube shown in fig. (2) which has all the three blank faces adjacent to each other cannot be formed. Hence, only the cubes shown in figures A, C and D can be formed.

Correct Answer: 64

Explanation:

We know that Cubes with no surface painted can be find using  x - 2 3, where x is number of cuttings. Here x=6.

  ? 6 - 2 3 = 64

Correct Answer: 56

Explanation:

(Total numbers of cubes in a line  x  Number of stack / tower) + ...

= (6x1)+(5x2)+(4x3)+(3x4)+(5x2)+(6x1)

= 6+10+12+12+10+6 = 56

Correct Answer: 140

Explanation:

In the figure, there are

 

5 columns containing 4 cubes each;

 

33 columns containing 3 cubes each;

 

9 columns containing 2 cubes each and 3 columns containing 1 cube each.

 

? Total Number of cubes = ( 5 x 4) + (33 x 3) + (9 x 2) + (3 x 1) = 20 + 99 + 18 + 3 = 140

Correct Answer: &

Explanation:

Correct Answer: 15

Explanation:

Clearly, there are 4 columns containing 1 cube each, 4 columns containing 2 cubs each and 1 column containing 3 cubes.

Hence, there are (4 x 1) + (4 x 2) + (1 x 3) = 4 + 8 + 3 = 15 cubes in the given figure.

Correct Answer: 89

Explanation:

In the figure, there are 9 columns containing 5 cubes each, 7 columns containing 4 cubes each, 5 columns containing 3 cubes each and 1 column containing 1 cube.

 

 

 

?Total number of cubes = (9 x 5) + (7 x 4) + (5 x 3) + (1 x 1) = 89

Correct Answer: 46

Explanation:

In the figure, there are 21 columns containing 2 cubes each and 4 columns containing 1 cube each. 

?Total number of cubes = (21 x 2) + (4 x 1) = 42 + 4 = 46.

Correct Answer: Option 2,3 and 4

Explanation:

when a cube is formed by folding the sheet shown in fig. (A), then   is one of the faces of the cube and this face lies opposite to a blank face. Also, a face bearing a square lies opposite to another blank face. The remaining two blank faces lie opposite to each other. Clearly, in the cube shown in fig. (1), the face consisting of the four symbols is not the same as that formed (as shown above). Hence, the cube in fig. (1) cannot be formed

Correct Answer: 1

Explanation: