Reasoning Cube questions with answer

1. How many cubes will be formed having only two faces varnished?

A) 45

B) 48

C) 47

D) 80

Answer:B

Explanation:Tiny cubes having only two faces varnished = (x - 2) × number of edges = (6 - 2) × 12 = 4 × 12 = 48. Hence option B is the answer.

2. From the above cube, how many tiny cubes will be formed having only three faces varnished?

A) 6

B) 7

C) 9

D) 8

Answer:D

Explanation:The answer is the number of corners available which is 8. Hence option D is the correct answer.

3. How many cubes will be formed having no face varnished?

A) 8

B) 6

C) 4

D) 7

Answer:A

Explanation:Here x = 4. So x - 2 = 4 - 2 = 2. So 2 × 2 × 2 = 8. So option A is correct.

4. A big cube is segmented into tiny cubes and each portion of the tiny cubes is of equal length. The total number. of tiny cubes formed is 343. Each portion of the tiny cubes is 4 cm. Find out the length of each portion of the original bigger cube.

A) 12

B) 29

C) 28

D) 10

Answer:C

Explanation:Number of cubes = 343. Cube root of 343 is 7. So x = 7. By formula, portion of big cube = 7 × 4 = 28. Hence option C is correct.

5. How many cubes will be formed having only two faces varnished?

A) 45

B) 65

C) 48

D) 80

Answer:C

Explanation:Tiny cubes having only two faces varnished = (x - 2) × number of edges = (6 - 2) × 12 = 4 × 12 = 48. Hence option C is the answer.

6. Rachita has a cube whose each portion is of 25 cm. If she wants to cut tiny cubes of portion 2.5 cm each, then how many such cubes will be possible for her?

A) 1164

B) 1036

C) 1000

D) 1170

Answer:C

Explanation:x = (25/2.5) = 10 So number of cubes = 10 × 10 × 10= 1000. Hence option C is correct.

7. Baghdatis has a cube which has length of 10 cm, breadth of 8 cm, and height of 5 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

A) 650

B) 422

C) 400

D) 450

Answer:C

Explanation:number of cubes can be formed = length × breadth × height = 10 × 8 × 5 = 400.

8. How many cubes will be formed having only two faces varnished?

A) 75

B) 65

C) 48

D) 72

Answer:D

Explanation:Tiny cubes having only two faces varnished = (x - 2) × number of edges = (8 - 2) × 12 = 6 × 12 = 72. Hence option D is the option.

9. A big cube is segmented into tiny cubes and each portion of the tiny cubes is of equal length. The total number. of tiny cubes formed is 729. Each portion of the tiny cubes is 5 cm. Find out the length of each portion of the original bigger cube.

A) 12

B) 90

C) 45

D) 10

Answer:C

Explanation:Total number of tiny cubes = 729. Cube root of 729 is 9. So x = 9. By formula, portion of big cube = 9 × 5 = 45. Hence option C is correct.

10. A cube is segmented into 1331 equal tiny cubes. Before dividing the cube, each face of it is varnished in different colours. How many tiny cubes will be formed having more than one colour?

A) 164

B) 132

C) 116

D) 531

Answer:C

Explanation:Here x = Cube root of 1331 = 11. More than one colour means two or more colours. So total number of cubes whose two faces are varnished is = (x - 2) × number of edges = (11 - 2) × 12 = 108. The cubes having three faces varnished are the number of corners = 8. So total number of required cubes = 108 + 8 = 116. Hence option C is the answer.

Exercise

Exercise 1

Exercise 2

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