Cube and Cuboid Online Quiz


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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.

Questions and Answers

Q 1 - How many cubes will be formed having no face varnished?

A - 88

B - 66

C - 74

D - 64

Answer : D

Explanation

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

Q 2 - How many cubes will be formed having no face varnished?

A - 512

B - 566

C - 564

D - 474

Answer : A

Explanation

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

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?

A - 725

B - 729

C - 125

D - 764

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 - What will be length of the portion of tiny cubes, if each portion of the original big cube is 14 cm and the cube is segmented into 343 tiny ones?

A - 2

B - 9

C - 4

D - 8

Answer : A

Explanation

Here number of tiny cubes = 343. Cube root of 343 = 7. So x = 7 cm.

2 = (14/portion of tiny cube) or portion of tiny cube = 14/7 = 2 cm.

Q 5 - A big cube whose all the corners are named as A, B, C, D, E, F, G and H. Its each portion is of 20 cm 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?

A - 25

B - 85

C - 125

D - 64

Answer : C

Explanation

To find the number of tiny cubes, first we have to find x. So x = (20/4) = 5. So number of tiny cubes = 5 × 5 × 5 = 125. Hence option C.

Q 6 - A big cube is having 9 cm portion and the tiny cubes cut out of it is having 3 cm for each portion. How many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?

A - 1

B - 2

C - 3

D - 4

Answer : A

Explanation

Here x = 9/3 = 3. Such cubes can be found by following method. x – 2 = 3 - 2 = 1. 1 × 1 × 1 = 1. So, number of cubes that will be formed such that each face of these cubes is surrounded by other cubes is only one.

Q 7 - What will be the length of the portion of tiny cubes, if the original big cube having each portion of 36 cm is segmented into 216 tiny ones?

A - 6

B - 9

C - 4

D - 8

Answer : A

Explanation

Total number of tiny cubes = 216. Cube root of 216 = 6. So x = 6 cm.

6 = (36/ portion of tiny cube) or portion of tiny cube = 36/6 = 6 cm.

Q 8 - How many cubes will be formed having only three faces varnished?

A - 6

B - 7

C - 8

D - 18

Answer : C

Explanation

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

Q 9 - How many cubes will be formed having no face varnished?

A - 88

B - 66

C - 64

D - 74

Answer : C

Explanation

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

Q 10 - A big cube is having 80 cm portion and the tiny cubes cut out of it is having 8 cm each portion. Then how many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?

A - 512

B - 514

C - 612

D - 684

Answer : A

Explanation

Here x = 80/8 = 10. Such cubes can be found by following method. X – 2 = 10 - 2 = 8. So 8 × 8 × 8 = 512. So number of cubes will be formed such that each face of these cubes is surrounded by other cubes is 512.

reasoning_cube_and_cuboid.htm
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