# 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 : 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.

### Answer : A

### Explanation

The answer is the number of corners available which is 8. Hence option A is the correct answer.

Q 3 - A big cube whose all the corners are named as K, L, M, N, O, P, Q and R. Its each portion is of 36 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 4 cm. Then how many such cubes are possible?

### Answer : B

### Explanation

To find the number of tiny cubes, first we have to find x. Here x = (36/4) = 9. So number of tiny cubes M = 9 × 9 × 9 = 729. Hence option B is the answer.

Q 4 - Bhargav has a cube which has length of 10 cm, breadth of 4 cm, and height 2 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

### Answer : B

### Explanation

Number of cubes can be formed = length × breadth × height

= 10 × 4 × 2 = 80.

### Answer : D

### Explanation

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

Q 6 - A big cube whose all the corners are named as H, I, J, K, L, M, N and O. Its each portion is of 35 cm length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 5 cm. How many such cubes are possible?

### Answer : A

### Explanation

To find the number of tiny cubes first we have to find x. So x = (35/5) = 7. So number of tiny cubes = 7 × 7 × 7 = 343. Hence option A is the correct answer.

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 : B

### Explanation

Tiny cubes having only two faces varnished = (x - 2) × number of edges = (9 - 2) × 12 = 7 × 12 = 84. Hence option B is the answer.

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 8. Each portion of the tiny cubes is 1 cm. Find out the length of each portion of the original bigger cube.

### Answer : D

### Explanation

Total number of tiny cubes is = 8. Cube root of 8 is 2. So x = 2. By formula portion of big cube = 2 × 1 = 2. Hence option D is correct.

Q 10 - A big cube is having 64 cm each portion. Tiny cubes of 8 cm portion each is cut from that. Then how many tiny cubes will be formed that are surrounded by at least one cube?

### Answer : A

### Explanation

Here x = 64/8 = 8 cm. So x - 2 = 8 - 2 = 6. Finally 6 × 6 × 6 = 216. Hence answer is option A.