# 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 : A

### Explanation

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

Q 2 - A big cube whose each corner is named as A, B, C, D, E, F, G and H is having each portion 30 cm. This cube is segmented into tiny cubes of portion 5 cm each. All the faces of the original big cube is varnished with white colour before being cut.

How many cubes will be formed having only one face varnished?

### Answer : D

### Explanation

Here x = 30/5 = 6. So number of tiny cubes can be formed is M = 6 × 6 × 6 = 216.

Cubes having only one face varnished is = (x - 2) × (x - 2) × number of faces = (6 - 2) × (6 - 2) × 6 = 4 × 4 × 6 = 96. Hence option D is the 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 - Sanghamoyra has a cube which has length of 9 cm, breadth of 5 cm, and height of 2 cm and is segmented into tiny cubes. How many such tiny cubes can be formed?

### Answer : B

### Explanation

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

= 9 × 5 × 2 = 90.

### 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.

Q 6 - A big cube is having 16 cm each portion. Tiny cubes of 4 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 = 16/4 = 4 cm. So x - 2 = 4 - 2 = 2. So 2 × 2 × 2 = 8. Hence answer is option A.

Q 7 - A big cube whose all the corners are named as A, B, C, D, E, F, G and H. Its each portion is of 60 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 3 cm. How many such cubes are possible?

### Answer : C

### Explanation

To find the number of tiny cubes first we have to find x. So x = (60/3) = 20. So number of tiny cubes = 20 × 20 × 20 = 8000. Hence option C is the answer.

Q 8 - A big cube whose each corner is named as G, H, J, K, L, M, N and P is having each portion of 72 cm. This cube is segmented into tiny cubes of portion 9 cm each. All the faces of the original big cube is varnished pink before being cut.

How many cubes will be formed having only one face varnished?

### Answer : C

### Explanation

Here x = 72/9 = 8. So number of tiny cubes can be formed is M = 8 × 8 × 8 = 512.

Cubes having only one face varnished is = (x - 2) × (x - 2) x number of faces = (8 - 2) × (8 - 2) × 6 = 6 × 6 × 6 = 216. Hence option C is the answer.

### Answer : C

### Explanation

x = 8. So x - 2 = 8 - 2 = 6. 6 × 6 × 6 = 216.

### Answer : C

### Explanation

Here x = 8. So x - 2 = 8 - 2 = 6. 6 × 6 × 6 = 216.