# 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.

Q 1 - A big cube is having 20 cm each portion. Tiny cubes of 2 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?

### Answer : C

### Explanation

Here x = 20/2 = 10 cm. so x - 2 = 10 - 2 = 8. Finally: 8 × 8 × 8 = 512. Hence answer is option C.

### Answer : D

### Explanation

It is impossible to get four varnished faces out of a big cube. Hence answer is zero.

### Answer : C

### Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (4 - 2) × 12 = 2 × 12 = 24. Hence option C is the correct answer.

Q 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.

### 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.

### Answer : C

### Explanation

x = 6. So x - 2 = 6 - 2 = 4. 4 × 4 × 4 = 64.

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.

Q 8 - What will be length of the portion of tiny cubes, if the original big cube having each portion of 45 cm is segmented into 729 tiny ones?

### Answer : A

### Explanation

Total number of tiny cubes = 729. Cube root of 729 = 9. So x = 9 cm.

9 = (45/portion of tiny cube) or portion of tiny cube = 45/9 = 5 cm.

Q 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.

### 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.

Q 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?

### 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.