# 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 32 cm in 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 : B

### Explanation

Here x = 32/8 = 4 cm. so x - 2 = 4 - 2 = 2. Finally: 2 × 2 × 2 = 8. Hence answer is option A.

### Answer : A

### Explanation

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

### 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 - 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.

Q 5 - Mita has a cube whose each portion is of 6 cm. If she wants to cut tiny cubes of portion 1.5 cm each, then how many such cubes will be possible for her?

### Answer : A

### Explanation

x = (6/1.5) = 4

So number of tiny cubes = 4 × 4 × 4 = 64. Hence option A is correct.

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 - Gourav has a cube whose each portion is of 45 cm. If he wants to cut tiny cubes having portion of 5 cm each, then how many such cubes will be possible for him?

### Answer : C

### Explanation

x = (45/5) = 9

So number of cubes = 9 × 9 × 9 = 729. Hence option C is correct.

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 512 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 : D

### Explanation

Here x = Cube root of 512 = 8. 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 = (8 - 2) × 12 = 72. Total number of cubes whose three faces are varnished are the number of corners = 8. So total number of required cubes = 72 + 8 = 80. Hence option D is the answer.