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# Cube and Cuboid Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Cube and Cuboid**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

### Answer : D

### Explanation

Here x = 6. So x - 2 = 6 - 2 = 4. 4 × 4 × 4 = 64. Hence option D is the answer.

### Answer : A

### Explanation

Here x = 10. So x - 2 = 10 - 2 = 8. So 8 × 8 × 8 = 512.

### Answer : A

### Explanation

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

Q 4 - What will be length of the portion of tiny cubes, if each portion of original big cube is 10 cm and the cube is segmented into 125 tiny cubes?

### Answer : C

### Explanation

Number of tiny cubes = 125. Cube root of 125 = 5. So x = 5 cm.

5 = (10/portion of tiny cube) or portion of tiny cube = 10/5 = 2 cm.

Q 5 - A big cube is segmented into tiny cubes and each portion of the tiny cubes are of equal length. The total number of tiny cubes formed are 27. Each portion of the tiny cube is 3 cm. Then find out the length of each portion of the original bigger cube.

### Answer : B

### Explanation

Number of cube = 27. Cube root of 27 is 3. So x= 3. By formula, portion of big cube = 3 × 3 = 9. Hence option B is correct.

Q 6 - How many tiny cubes will be formed having one portion yellow and one portion red for sure?

### Answer : C

### Explanation

Red and yellow varnished faces are joined by 4 edges, so, number of cubes having red and yellow varnished faces = (x - 2) x number of edges = (4 - 2) × 4 = 2 × 4 = 8. Here x = Cube root of 64 = 4. Number of cubes having three faces varnished will also have red and yellow colours = 8. So total cubes = 8 + 8 = 16.

Q 7 - What will be length of the portion of tiny cubes, if the original big cube having each portion of 48 cm is segmented into 64 tiny ones?

### Answer : B

### Explanation

Total number of cubes = 64. Cube root of 64 = 4. So x = 4 cm. 4 = (48/portion of tiny cube) or portion of tiny cube = 48/4 = 12 cm.

### 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.

Q 9 - A big cube is segmented into tiny cubes and each portion of the tiny cubes are of equal length. The total number. of tiny cubes formed is 512. Each portion of the tiny cubes is 4 cm. Find out the length of each portion of the original bigger cube.

### Answer : A

### Explanation

Total number of cubes = 512. Cube root of 512 is 8. So x = 8. By formula, portion of big cube = 8 × 4 = 32. Hence option A is correct.

Q 10 - A big cube is having 90 cm portion and the tiny cubes cut out of it is having 15 cm each portion. Then how many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?

### Answer : D

### Explanation

Here x = 90/15 = 6. Such cubes can be found by following method. X – 2 = 6 - 2 = 4. 4 × 4 × 4 = 64. So number of cubes will be formed such that each face of these cubes is surrounded by other cubes is 64.