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 whose each corner is named as X, Y, Z, A, B, C, D and E is having each portion 24 cm. This cube is segmented into tiny cubes of portion 4 cm each. All the faces of the original big cube are varnished with maroon colour before being cut.

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

A - 91

B - 96

C - 56

D - 87

Answer : B

Explanation

Here x = 24/4 = 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 B is the 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?

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 - A big cube whose all the corners are named as H, I, J, K, L, M, N and O. Its each portion is of 42 cm length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 6 cm. Then how many such cubes are possible?

A - 343

B - 385

C - 125

D - 364

Answer : A

Explanation

To find the number of tiny cubes, first we have to find x. Here x = (42/6) = 7. So number of tiny cubes M = 7 × 7 × 7 = 343. Hence option A is the answer.

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 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 6 - A big cube whose all the corners are named as P, Q, R, S, T, U, V and W. Its each portion is of 50 cm in length. The cube is segmented into tiny cubes and length of the portion of each tiny cube is 2.5 cm. Then how many such cubes are possible?

A - 7000

B - 8500

C - 1250

D - 8000

Answer : D

Explanation

To find the number of tiny cubes, first we have to find x. So x = (50/2.5) = 20. So number of tiny cubes M = 20 × 20 × 20 = 8000. Hence option D is the answer.

Q 7 - Harry has a cube whose each portion is of 15 cm. If she wants to cut tiny cubes of portion 1.5 cm each, then how many such cubes will be possible for her?

A - 1064

B - 3699

C - 1000

D - 7009

Answer : C

Explanation

x = (15/1.5) = 10

So total number of cubes = 10 × 10 × 10 = 1000. Hence option C is correct.

Q 8 - How many cubes will be formed having no face varnished?

A - 88

B - 66

C - 64

D - 74

Answer : C

Explanation

Here x = 9. So x - 2 = 9 - 2 = 7. 7 × 7 × 7 = 343.

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

A - 0

B - 8

C - 10

D - 9

Answer : A

Explanation

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


reasoning_cube_and_cuboid.htm

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