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 - A big cube is having 33 cm portion and the tiny cubes cut out of it is having 11 cm in each portion. Then how many tiny cubes will be formed such that each face of these cubes is surrounded by other cubes?

A - 10

B - 22

C - 3

D - 1

Answer : D

Explanation

Here x = 33/11 = 3. Such cubes can be found by following method. X – 2 = 3 - 2 = 1 and 1 × 1 × 1 = 1. So, number of cubes will be formed such that each face of these cubes is surrounded by other cubes is only one.

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?

A - 86

B - 90

C - 56

D - 96

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 - How many cubes will be formed having all the four faces varnished?

A - 8

B - 0

C - 10

D - 7

Answer : B

Explanation

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

Q 4 - What will be length of the portion of tiny cubes, if each portion of the original big cube is 8 cm and the cube is segmented into 125 tiny ones?

A - 1.5

B - 1.9

C - 1.4

D - 1.6

Answer : D

Explanation

number of tiny cubes = 125. Cube root of 125 = 5. So x = 5 cm.

5 = (8/ portion of tiny cube) or portion of tiny cube = 8/5 = 1.6 cm.

Q 5 - How many cubes will be formed having no face varnished?

A - 88

B - 66

C - 64

D - 74

Answer : C

Explanation

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

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 length of the portion of tiny cubes, if the original big cube having each portion of 40 cm is segmented into 125 tiny ones?

A - 5

B - 9

C - 4

D - 8

Answer : D

Explanation

Total number of tiny cubes = 125. Cube root of 125 = 5. So x = 5 cm.

5 = (40/ portion of tiny cube) or portion of tiny cube = 40/5 = 8 cm.

Q 8 - A big cube whose each corner is named as E, F, G, H, I, J, K and L is having each portion 45 cm. This cube is segmented into tiny cubes of portion 5 cm each. All the faces of the original big cube is varnished velvet before being cut.

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

A - 296

B - 290

C - 256

D - 294

Answer : D

Explanation

Here x = 45/5 = 9. So number of tiny cubes can be formed is M = 9 × 9 × 9 = 729.

Cubes having only one face varnished is = (x - 2) x (x - 2) x number of faces = (9 - 2) × (9 - 2) × 6 = 7 × 7 × 6 = 294. Hence option D is the answer.

Q 9 - How many cubes will be formed having all the four faces varnished?

A - 5

B - 8

C - 10

D - 0

Answer : D

Explanation

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

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?

A - 216

B - 92

C - 162

D - 332

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.

reasoning_cube_and_cuboid.htm
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